Pith Number

pith:X73IY4FB

pith:2025:X73IY4FBG7KR6BGG6XB3DR53PX

not attested not anchored not stored refs pending

Anyons in the $\pi$-flux phase of fermionic matter coupled to a $\mathbb{Z}_2$-gauge field

Leonardo Goller, Marcello Porta, Sven Bachmann

arxiv:2508.21502 v3 · 2025-08-29 · math-ph · cond-mat.str-el · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X73IY4FBG7KR6BGG6XB3DR53PX}

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.

Receipt and verification

First computed	2026-06-09T01:04:39.153566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff68c70a137d51f04c6f5c3b1c7bb7dd293a41d2dd07d629abdef302585b503

Aliases

arxiv: 2508.21502 · arxiv_version: 2508.21502v3 · doi: 10.48550/arxiv.2508.21502 · pith_short_12: X73IY4FBG7KR · pith_short_16: X73IY4FBG7KR6BGG · pith_short_8: X73IY4FB

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/X73IY4FBG7KR6BGG6XB3DR53PX \
  | 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: bff68c70a137d51f04c6f5c3b1c7bb7dd293a41d2dd07d629abdef302585b503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8958c6479453c6da71686110d0456686130efa73568486c6a091cd90493f24c1",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-08-29T10:34:55Z",
    "title_canon_sha256": "7d534eca7a559f670200ff4716ad824e32046bcb8a3739eba3310493fb1d6619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21502",
    "kind": "arxiv",
    "version": 3
  }
}