Pith Number

pith:4FNVU7ME

pith:2025:4FNVU7MEVUXYT3LJJH7E5JW6AX

not attested not anchored not stored refs pending

ADE triality via (non-)invertible symmetry gauging

Takahilo Tanaka, Yu Nakayama

arxiv:2506.15158 v2 · 2025-06-18 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FNVU7MEVUXYT3LJJH7E5JW6AX}

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

1 paper in Pith

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings

Receipt and verification

First computed	2026-07-05T11:41:43.311269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15b5a7d84ad2f89ed6949fe4ea6de05f24f1bd68d6a88e772b10928a4405f63

Aliases

arxiv: 2506.15158 · arxiv_version: 2506.15158v2 · doi: 10.48550/arxiv.2506.15158 · pith_short_12: 4FNVU7MEVUXY · pith_short_16: 4FNVU7MEVUXYT3LJ · pith_short_8: 4FNVU7ME

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/4FNVU7MEVUXYT3LJJH7E5JW6AX \
  | 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: e15b5a7d84ad2f89ed6949fe4ea6de05f24f1bd68d6a88e772b10928a4405f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db80d538807b5753ba384ef658acdaf3e996d3fc951ac1e7997f86a834ce585",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-18T06:02:38Z",
    "title_canon_sha256": "1ef1c3638b2b056b10dec3cb551d186da90977c6f35a235f6317bf63e60a0adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15158",
    "kind": "arxiv",
    "version": 2
  }
}