Pith Number

pith:23WCL7IW

pith:2008:23WCL7IWAVNYFVFF7XSZXZ6SKP

not attested not anchored not stored refs pending

In\'egalit\'es de Poincar\'e cin\'etiques

Pascal Azerad (I3M), St\'ephane Brull (IMT)

arxiv:0805.3678 v3 · 2008-05-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23WCL7IWAVNYFVFF7XSZXZ6SKP}

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	2026-05-18T04:14:06.095564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ec25fd16055b82d4a5fde59be7d253d4846773f7fe2448d30d6a48c23c262c

Aliases

arxiv: 0805.3678 · arxiv_version: 0805.3678v3 · doi: 10.48550/arxiv.0805.3678 · pith_short_12: 23WCL7IWAVNY · pith_short_16: 23WCL7IWAVNYFVFF · pith_short_8: 23WCL7IW

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/23WCL7IWAVNYFVFF7XSZXZ6SKP \
  | 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: d6ec25fd16055b82d4a5fde59be7d253d4846773f7fe2448d30d6a48c23c262c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900b5cd40c6f092146f7fed70242c1d1a786862991642a67453b3dbc4a4206d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-05-23T18:18:05Z",
    "title_canon_sha256": "17b74cc97b2b15a55fe355350472a0a9b9a910434ba7617ff03de6a3b115aa09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3678",
    "kind": "arxiv",
    "version": 3
  }
}