Pith Number

pith:JPXREV7I

pith:2015:JPXREV7ILSQ5YGETZIAS6YA2NE

not attested not anchored not stored refs pending

On convergence to a football

Hao Fang, Mijia Lai

arxiv:1501.06881 v2 · 2015-01-27 · math.DG · 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{JPXREV7ILSQ5YGETZIAS6YA2NE}

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	2026-05-18T01:31:03.365291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bef1257e85ca1dc1893ca012f601a690f1e4f40323892401db3120fd51970ca

Aliases

arxiv: 1501.06881 · arxiv_version: 1501.06881v2 · doi: 10.48550/arxiv.1501.06881 · pith_short_12: JPXREV7ILSQ5 · pith_short_16: JPXREV7ILSQ5YGET · pith_short_8: JPXREV7I

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/JPXREV7ILSQ5YGETZIAS6YA2NE \
  | 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: 4bef1257e85ca1dc1893ca012f601a690f1e4f40323892401db3120fd51970ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53dcc09a2991bbaa09072ea43f53ea370a54516329322f6e455a2ca08423221",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-27T19:44:48Z",
    "title_canon_sha256": "9d0cba4f964015504124e31cb0324442179fedaaca9d46403856bcb3ef50fc4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06881",
    "kind": "arxiv",
    "version": 2
  }
}