Pith Number

pith:CXJHVNJH

pith:2012:CXJHVNJHKVKGFBY5YPAPPNQGFB

not attested not anchored not stored refs pending

A mean field type flow

Jean-Baptiste Cast\'eras

arxiv:1212.1857 v1 · 2012-12-09 · 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{CXJHVNJHKVKGFBY5YPAPPNQGFB}

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	2026-05-18T03:38:54.932013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d27ab527555462871dc3c0f7b606285364c27af6e58dad459c99ace95a988f

Aliases

arxiv: 1212.1857 · arxiv_version: 1212.1857v1 · doi: 10.48550/arxiv.1212.1857 · pith_short_12: CXJHVNJHKVKG · pith_short_16: CXJHVNJHKVKGFBY5 · pith_short_8: CXJHVNJH

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/CXJHVNJHKVKGFBY5YPAPPNQGFB \
  | 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: 15d27ab527555462871dc3c0f7b606285364c27af6e58dad459c99ace95a988f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7084cd604433b75596d915352d2d714db63853897070447830e544cc5a45640",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-09T04:44:52Z",
    "title_canon_sha256": "0aa1fca5c7a118f71ac135df66eabb66452a43b1f5d00aa5dd977ac173c5206c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1857",
    "kind": "arxiv",
    "version": 1
  }
}