Pith Number

pith:TRF4KQQY

pith:2012:TRF4KQQY7CE3ZKBJP7CZJNCSFM

not attested not anchored not stored refs pending

A remark on Kov\'acs' vanishing theorem

Osamu Fujino

arxiv:1202.4201 v1 · 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{TRF4KQQY7CE3ZKBJP7CZJNCSFM}

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	2026-05-18T02:29:25.480611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4bc54218f889bca8297fc594b4522b156804ba0c173767c8033393e7b0416c

Aliases

arxiv: 1202.4201 · arxiv_version: 1202.4201v1 · doi: 10.48550/arxiv.1202.4201 · pith_short_12: TRF4KQQY7CE3 · pith_short_16: TRF4KQQY7CE3ZKBJ · pith_short_8: TRF4KQQY

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/TRF4KQQY7CE3ZKBJP7CZJNCSFM \
  | 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: 9c4bc54218f889bca8297fc594b4522b156804ba0c173767c8033393e7b0416c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef1f30792bfdd315120d84026818273d7b14978277f76fcefc60d03c0cf7b63e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-20T00:53:16Z",
    "title_canon_sha256": "6224aa0dfb870f243839e5a17e37bc40f0daf46acf9b2e54577a3410d9a53910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4201",
    "kind": "arxiv",
    "version": 1
  }
}