Pith Number

pith:ZHGRP3KP

pith:2014:ZHGRP3KPKPNFAC6F7NFLJS5NYY

not attested not anchored not stored refs pending

Permutation combinatorics of worldsheet moduli space

David Garner, Laurent Freidel, Sanjaye Ramgoolam

arxiv:1412.3979 v2 · 2014-12-12 · hep-th · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHGRP3KPKPNFAC6F7NFLJS5NYY}

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	2026-05-18T01:36:22.247004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cd17ed4f53da500bc5fb4ab4cbadc630c4def3a7953fe5e45e444863eaeb73

Aliases

arxiv: 1412.3979 · arxiv_version: 1412.3979v2 · doi: 10.48550/arxiv.1412.3979 · pith_short_12: ZHGRP3KPKPNF · pith_short_16: ZHGRP3KPKPNFAC6F · pith_short_8: ZHGRP3KP

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/ZHGRP3KPKPNFAC6F7NFLJS5NYY \
  | 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: c9cd17ed4f53da500bc5fb4ab4cbadc630c4def3a7953fe5e45e444863eaeb73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a6c4f417529012c86cc5f34a12d300ec24feddce1d06ad63f1d5528889e3c01",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-12T12:56:48Z",
    "title_canon_sha256": "49d8ba09d4d290bd9a82bcf07010411eedada1e9d87c4e14acd72ffa30625310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3979",
    "kind": "arxiv",
    "version": 2
  }
}