Pith Number

pith:7EC3MWFB

pith:2012:7EC3MWFBL4UYQRVGZNNGRT4X3L

not attested not anchored not stored refs pending

Equivariant mean field flow

Jean-Baptiste Cast\'eras

arxiv:1212.1854 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{7EC3MWFBL4UYQRVGZNNGRT4X3L}

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	2026-05-18T01:52:46.185773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f905b658a15f298846a6cb5a68cf97dad4b31157b3345d1f263c15be52937651

Aliases

arxiv: 1212.1854 · arxiv_version: 1212.1854v1 · doi: 10.48550/arxiv.1212.1854 · pith_short_12: 7EC3MWFBL4UY · pith_short_16: 7EC3MWFBL4UYQRVG · pith_short_8: 7EC3MWFB

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/7EC3MWFBL4UYQRVGZNNGRT4X3L \
  | 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: f905b658a15f298846a6cb5a68cf97dad4b31157b3345d1f263c15be52937651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346ebf3df67aeedb2c0d9b0229c44156a9f56972a3c89d75237b699b4ee01f1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-09T04:22:55Z",
    "title_canon_sha256": "754951021f890be028d108287bf6292a04d091170bef11434c333a455a5439a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1854",
    "kind": "arxiv",
    "version": 1
  }
}