Pith Number

pith:5CVUEAEY

pith:1993:5CVUEAEYHTDUCG2V3GLHLYVRGR

not attested not anchored not stored refs pending

Description of moduli space of projective structures via fat graphs

V. V. Fock

arxiv:hep-th/9312193 v2 · 1993-12-25 · hep-th · 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{5CVUEAEYHTDUCG2V3GLHLYVRGR}

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

2 papers in Pith

Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras

Receipt and verification

First computed	2026-07-04T15:07:35.291511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ab4200983cc7411b55d99675e2b1347a67807b598b032fd56e895beeb52af4

Aliases

arxiv: hep-th/9312193 · arxiv_version: hep-th/9312193v2 · doi: 10.48550/arxiv.hep-th/9312193 · pith_short_12: 5CVUEAEYHTDU · pith_short_16: 5CVUEAEYHTDUCG2V · pith_short_8: 5CVUEAEY

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/5CVUEAEYHTDUCG2V3GLHLYVRGR \
  | 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: e8ab4200983cc7411b55d99675e2b1347a67807b598b032fd56e895beeb52af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adb62c497cd589fbe8a29508e5fc355f90a2fcbba7808621b7d370090a58c50d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-12-25T21:46:27Z",
    "title_canon_sha256": "7bbe7d257b150626d46d52ad98abb051023662895b2bce46b974e4a2ac827e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9312193",
    "kind": "arxiv",
    "version": 2
  }
}