Pith Number

pith:NV7QXOXX

pith:2002:NV7QXOXXCS425GFSBS6FWGSROF

not attested not anchored not stored refs pending

Letters of a Bi-Rationalist IV: Geometry of log flips

V.V. Shokurov

arxiv:math/0206004 v1 · 2002-06-02 · 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{NV7QXOXXCS425GFSBS6FWGSROF}

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	2026-05-18T01:05:29.535343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d7f0bbaf714b9ae98b20cbc5b1a51716618d831cdcbd574ebb18b1536c91114

Aliases

arxiv: math/0206004 · arxiv_version: math/0206004v1 · doi: 10.48550/arxiv.math/0206004 · pith_short_12: NV7QXOXXCS42 · pith_short_16: NV7QXOXXCS425GFS · pith_short_8: NV7QXOXX

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/NV7QXOXXCS425GFSBS6FWGSROF \
  | 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: 6d7f0bbaf714b9ae98b20cbc5b1a51716618d831cdcbd574ebb18b1536c91114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83845b011dd783af242be824e0b3c39a7f304fba168cbb0fc9e4c5a4667cf7d5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-06-02T13:53:37Z",
    "title_canon_sha256": "9d6526ed749d7e110286708125f9a9e2a50a3e2713d10959602730886ae7e143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206004",
    "kind": "arxiv",
    "version": 1
  }
}