Pith Number

pith:EPPSOFGA

pith:2002:EPPSOFGA5ANB4QJQMTJS4SJNMI

not attested not anchored not stored refs pending

K-equivalence in Birational Geometry

Chin-Lung Wang

arxiv:math/0204160 v3 · 2002-04-12 · 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{EPPSOFGA5ANB4QJQMTJS4SJNMI}

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	2026-05-18T04:11:18.375834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23df2714c0e81a1e413064d32e492d6206c5c5b7604ffc5714a93187b6268c6c

Aliases

arxiv: math/0204160 · arxiv_version: math/0204160v3 · doi: 10.48550/arxiv.math/0204160 · pith_short_12: EPPSOFGA5ANB · pith_short_16: EPPSOFGA5ANB4QJQ · pith_short_8: EPPSOFGA

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/EPPSOFGA5ANB4QJQMTJS4SJNMI \
  | 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: 23df2714c0e81a1e413064d32e492d6206c5c5b7604ffc5714a93187b6268c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1badfac0e40e82566b04c7ef6b097a813b2d4abcaff84994dc2bcaa0620e2b84",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-04-12T01:54:10Z",
    "title_canon_sha256": "fc7bdc4c187e5f79f9630cea9563ea5a234fa9caac58406e766dbe3f3f8e1486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204160",
    "kind": "arxiv",
    "version": 3
  }
}