Pith Number

pith:5N3MHH2Y

pith:2007:5N3MHH2Y7O2IXESV4AVGAZILXV

not attested not anchored not stored refs pending

Lectures on Poisson groupoids

Camille Laurent-Gengoux, Mathieu Stienon, Ping Xu

arxiv:0707.2405 v1 · 2007-07-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5N3MHH2Y7O2IXESV4AVGAZILXV}

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	2026-05-18T03:50:00.250278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb76c39f58fbb48b9255e02a60650bbd5127e549baced078e86f8a8f30f0b1a1

Aliases

arxiv: 0707.2405 · arxiv_version: 0707.2405v1 · doi: 10.48550/arxiv.0707.2405 · pith_short_12: 5N3MHH2Y7O2I · pith_short_16: 5N3MHH2Y7O2IXESV · pith_short_8: 5N3MHH2Y

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/5N3MHH2Y7O2IXESV4AVGAZILXV \
  | 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: eb76c39f58fbb48b9255e02a60650bbd5127e549baced078e86f8a8f30f0b1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4074a5048d03dd4a11542e1a17dd769397cb4be105049d467ca18c4073e7f454",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-07-16T22:28:16Z",
    "title_canon_sha256": "02c5c0a16501b6f1ecb932cc282361ffded64e44b73802516d1ae1a2e1e8d77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2405",
    "kind": "arxiv",
    "version": 1
  }
}