Pith Number

pith:3BTNMCLY

pith:2025:3BTNMCLYA34RHZ3BDRYQVFLPDX

not attested not anchored not stored refs pending

Classifying fusion rules of anyons or SymTFTs: A general algebraic formula for domain wall problems and quantum phase transitions

Yoshiki Fukusumi

arxiv:2512.21687 v4 · 2025-12-25 · hep-th · cond-mat.str-el · hep-ph · math-ph · math.MP · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BTNMCLYA34RHZ3BDRYQVFLPDX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Defects in N=1 minimal models and RG flows

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Receipt and verification

First computed	2026-08-12T01:21:25.111276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d866d6097806f913e7611c710a956f1de7cf340c2783964020ee36a9a2206711

Aliases

arxiv: 2512.21687 · arxiv_version: 2512.21687v4 · doi: 10.48550/arxiv.2512.21687 · pith_short_12: 3BTNMCLYA34R · pith_short_16: 3BTNMCLYA34RHZ3B · pith_short_8: 3BTNMCLY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3BTNMCLYA34RHZ3BDRYQVFLPDX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d866d6097806f913e7611c710a956f1de7cf340c2783964020ee36a9a2206711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7656cccd7d2d16a0bbb40b8302d675d15dd7d5d67b31fc47689a94422f351c8",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-ph",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-25T14:23:15Z",
    "title_canon_sha256": "e9631381088b5254689a77cb82096957d84c9993203dab52d55d275ba710c247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21687",
    "kind": "arxiv",
    "version": 4
  }
}