Pith Number

pith:HJTFQCTM

pith:2012:HJTFQCTM4XCZTADYLWSEI7N5OE

not attested not anchored not stored refs pending

6j symbols for the modular double, quantum hyperbolic geometry, and supersymmetric gauge theories

G. S. Vartanov, J. Teschner

arxiv:1202.4698 v3 · 2012-02-21 · hep-th · 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{HJTFQCTM4XCZTADYLWSEI7N5OE}

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

The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity

Receipt and verification

First computed	2026-05-18T03:26:53.040082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a66580a6ce5c59980785da4447dbd711b6dbc9438f68c1a7e6295549b060927

Aliases

arxiv: 1202.4698 · arxiv_version: 1202.4698v3 · doi: 10.48550/arxiv.1202.4698 · pith_short_12: HJTFQCTM4XCZ · pith_short_16: HJTFQCTM4XCZTADY · pith_short_8: HJTFQCTM

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/HJTFQCTM4XCZTADYLWSEI7N5OE \
  | 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: 3a66580a6ce5c59980785da4447dbd711b6dbc9438f68c1a7e6295549b060927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445c46ddafab6cfe237f8e764ae46acb4d511752dd525202e1371503e15a783e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-02-21T16:54:19Z",
    "title_canon_sha256": "52c9fbc5862624f1ddc754db4e0b8c0d76095edf11c743a3f30b0b9a1d6d9aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4698",
    "kind": "arxiv",
    "version": 3
  }
}