Pith Number

pith:4G4PAZTF

pith:2019:4G4PAZTFELSEUNFCANOVRQRM5X

not attested not anchored not stored refs pending

Gamma function solutions to the star-triangle equation

Ege Eren, Gonenc Mogol, Ilmar Gahramanov, Shahriyar Jafarzade

arxiv:1912.12271 v2 · 2019-12-27 · math-ph · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4G4PAZTFELSEUNFCANOVRQRM5X}

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

Flipping relation as a reduced star-star relation

Receipt and verification

First computed	2026-07-05T01:00:15.469554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b8f0666522e44a34a2035d58c22ceddf8f5c561ca57a301a932f2d200fe679

Aliases

arxiv: 1912.12271 · arxiv_version: 1912.12271v2 · doi: 10.48550/arxiv.1912.12271 · pith_short_12: 4G4PAZTFELSE · pith_short_16: 4G4PAZTFELSEUNFC · pith_short_8: 4G4PAZTF

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/4G4PAZTFELSEUNFCANOVRQRM5X \
  | 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: e1b8f0666522e44a34a2035d58c22ceddf8f5c561ca57a301a932f2d200fe679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df3b0b064ff66c8ba7581aecb8b4a9f97af5ec92ed72b3fe5c0cb271aeee718d",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-12-27T18:19:19Z",
    "title_canon_sha256": "216df27a75b8c0edc0d9a5a85264c1d6b1867bd873c5fc209eb9d1e0e810cfc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12271",
    "kind": "arxiv",
    "version": 2
  }
}