Pith Number

pith:ZPTCFA4F

pith:2013:ZPTCFA4F7LAGMEODKLS4NNCSLX

not attested not anchored not stored refs pending

Answer to the questions of Yanyan Li and Luc Nguyen in arXiv:1302.1603

Xu-Jia Wang

arxiv:1302.6670 v1 · 2013-02-27 · 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{ZPTCFA4F7LAGMEODKLS4NNCSLX}

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	2026-05-18T03:32:19.169599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe6228385fac06611c352e5c6b4525dcf4174cc99cd7da35fe9ee1edcd7d405

Aliases

arxiv: 1302.6670 · arxiv_version: 1302.6670v1 · doi: 10.48550/arxiv.1302.6670 · pith_short_12: ZPTCFA4F7LAG · pith_short_16: ZPTCFA4F7LAGMEOD · pith_short_8: ZPTCFA4F

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/ZPTCFA4F7LAGMEODKLS4NNCSLX \
  | 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: cbe6228385fac06611c352e5c6b4525dcf4174cc99cd7da35fe9ee1edcd7d405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5c68a2c29e9e35f03abfac99cb5a9d043ca213de9f5e0ea41fb8fcc56823db7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-27T06:00:39Z",
    "title_canon_sha256": "b7d327a45810635fd5028c25ea2cb022f8843f664acf083bb33ada192872b2ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6670",
    "kind": "arxiv",
    "version": 1
  }
}