Pith Number

pith:V4CHZVKU

pith:2012:V4CHZVKUZQTZUZDNKPHV5NGUAN

not attested not anchored not stored refs pending

Vanishing theorems

Osamu Fujino

arxiv:1202.4200 v2 · 2012-02-20 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4CHZVKUZQTZUZDNKPHV5NGUAN}

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	2026-05-18T03:35:38.648463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af047cd554cc279a646d53cf5eb4d4034e9044f78d5bae4581ffe3aa5bdf140d

Aliases

arxiv: 1202.4200 · arxiv_version: 1202.4200v2 · doi: 10.48550/arxiv.1202.4200 · pith_short_12: V4CHZVKUZQTZ · pith_short_16: V4CHZVKUZQTZUZDN · pith_short_8: V4CHZVKU

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/V4CHZVKUZQTZUZDNKPHV5NGUAN \
  | 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: af047cd554cc279a646d53cf5eb4d4034e9044f78d5bae4581ffe3aa5bdf140d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b39e67fc5118cc7dba64cdcc4bb1643b09af2dbd88c145b18789ce220bc227cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-20T00:47:34Z",
    "title_canon_sha256": "9d8b9d102bbf44e4f496489efb15dba899b4e0fdd9c547df2d02376d00c1b7df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4200",
    "kind": "arxiv",
    "version": 2
  }
}