Pith Number

pith:2ZKZ47HR

pith:2010:2ZKZ47HRVAS2R5ISBWHRW423Z7

not attested not anchored not stored refs pending

Pseudographs and Lax-Oleinik semi-group: a geometric and dynamical interpretation

Marie-Claude Arnaud

arxiv:1003.2316 v2 · 2010-03-11 · math.SG · 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{2ZKZ47HRVAS2R5ISBWHRW423Z7}

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	2026-05-18T02:08:35.043270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6559e7cf1a825a8f5120d8f1b735bcfea53e150b86972d558e073073207f073

Aliases

arxiv: 1003.2316 · arxiv_version: 1003.2316v2 · doi: 10.48550/arxiv.1003.2316 · pith_short_12: 2ZKZ47HRVAS2 · pith_short_16: 2ZKZ47HRVAS2R5IS · pith_short_8: 2ZKZ47HR

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/2ZKZ47HRVAS2R5ISBWHRW423Z7 \
  | 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: d6559e7cf1a825a8f5120d8f1b735bcfea53e150b86972d558e073073207f073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb16c72d54d5fc2a8c1eb251d1a0503d603dfb9ca5680c6971d9544aad358a2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-03-11T12:16:58Z",
    "title_canon_sha256": "ffad2e25e4c9125582f68b562132e75747651e1f25646d2c6fe2d2a328781308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2316",
    "kind": "arxiv",
    "version": 2
  }
}