Pith Number

pith:T4H6RKGQ

pith:2011:T4H6RKGQ4A5VZXH2372NFUFEQW

not attested not anchored not stored refs pending

Des points fixes communs pour des diff\'eomorphismes de S^2 qui commutent et pr\'eservent une mesure de probabilit\'e

Francois Beguin, Patrice Le Calvez, Saponga Firmo, Tomasz Miernowski

arxiv:1107.0817 v1 · 2011-07-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4H6RKGQ4A5VZXH2372NFUFEQW}

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	2026-05-18T04:18:52.635836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0fe8a8d0e03b5cdcfadff4d2d0a485ac18e6c1039113182964a06a372a8752

Aliases

arxiv: 1107.0817 · arxiv_version: 1107.0817v1 · doi: 10.48550/arxiv.1107.0817 · pith_short_12: T4H6RKGQ4A5V · pith_short_16: T4H6RKGQ4A5VZXH2 · pith_short_8: T4H6RKGQ

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/T4H6RKGQ4A5VZXH2372NFUFEQW \
  | 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: 9f0fe8a8d0e03b5cdcfadff4d2d0a485ac18e6c1039113182964a06a372a8752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f98992b91f65a3edd238b6ef118cb599f21fb777f45de5e853c1cecb499c861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-05T08:57:38Z",
    "title_canon_sha256": "e4231f615a28d4d8ba29f11cfcc30d2e080f78fc3a7ff11f74ed566794a5127e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0817",
    "kind": "arxiv",
    "version": 1
  }
}