Pith Number

pith:T3LUI7HM

pith:2016:T3LUI7HMATAOMYT3WWP5ZRHINC

not attested not anchored not stored refs pending

The Grothendieck-Teichm\"uller group of $PSL(2, q)$

Pierre Guillot

arxiv:1604.04415 v1 · 2016-04-15 · 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{T3LUI7HMATAOMYT3WWP5ZRHINC}

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	2026-05-18T01:17:04.169582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed7447cec04c0e6627bb59fdcc4e86899b550b2acccb7ca5f8b6dfe4c8b10e8

Aliases

arxiv: 1604.04415 · arxiv_version: 1604.04415v1 · doi: 10.48550/arxiv.1604.04415 · pith_short_12: T3LUI7HMATAO · pith_short_16: T3LUI7HMATAOMYT3 · pith_short_8: T3LUI7HM

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/T3LUI7HMATAOMYT3WWP5ZRHINC \
  | 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: 9ed7447cec04c0e6627bb59fdcc4e86899b550b2acccb7ca5f8b6dfe4c8b10e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e70f596d4cf14bd9e35db1063ff5eb75e7bf3b62544f02d652ffc7702404a56",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-15T09:48:18Z",
    "title_canon_sha256": "f29363899b833f26f46faf27964a0a0998c9d7f9623014f865f71e17859ae802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04415",
    "kind": "arxiv",
    "version": 1
  }
}