Pith Number

pith:Z5PXRCNE

pith:2013:Z5PXRCNE66EIAOWKUBDU2XI3BG

not attested not anchored not stored refs pending

An elementary approach to dessins d'enfants and the Grothendieck-Teichm\"uller group

Pierre Guillot

arxiv:1309.1968 v2 · 2013-09-08 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5PXRCNE66EIAOWKUBDU2XI3BG}

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	2026-05-18T02:44:49.830047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5f7889a4f788803acaa0474d5d1b098d4dc6822332ca2705c8c60882e8f26e

Aliases

arxiv: 1309.1968 · arxiv_version: 1309.1968v2 · doi: 10.48550/arxiv.1309.1968 · pith_short_12: Z5PXRCNE66EI · pith_short_16: Z5PXRCNE66EIAOWK · pith_short_8: Z5PXRCNE

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/Z5PXRCNE66EIAOWKUBDU2XI3BG \
  | 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: cf5f7889a4f788803acaa0474d5d1b098d4dc6822332ca2705c8c60882e8f26e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8861c41d1658de6dc3c86bf4bd442d0e717582e27e9005392d960d8d5d090eb3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-08T16:08:16Z",
    "title_canon_sha256": "9759670b0fd79495ab68693caab6d322999e286df4bde69e50330148e9d85155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1968",
    "kind": "arxiv",
    "version": 2
  }
}