Pith Number

pith:PCOCYP46

pith:2000:PCOCYP46VJMWPWFCGJQGYFWROB

not attested not anchored not stored refs pending

Explicit birational geometry of 3-folds, Foreword

Alessio Corti, Miles Reid (Eds.)

arxiv:math/0007004 v1 · 2000-07-01 · 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{PCOCYP46VJMWPWFCGJQGYFWROB}

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.

Cited by

1 paper in Pith

Birational Geometry of sextic del Pezzo surfaces

Receipt and verification

First computed	2026-05-18T01:05:38.490061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789c2c3f9eaa5967d8a232606c16d17045b6308c3fdef444aa00ae1a22a171de

Aliases

arxiv: math/0007004 · arxiv_version: math/0007004v1 · doi: 10.48550/arxiv.math/0007004 · pith_short_12: PCOCYP46VJMW · pith_short_16: PCOCYP46VJMWPWFC · pith_short_8: PCOCYP46

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/PCOCYP46VJMWPWFCGJQGYFWROB \
  | 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: 789c2c3f9eaa5967d8a232606c16d17045b6308c3fdef444aa00ae1a22a171de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67797db345cbbff69e633004feaa32bdf33a45646f82e0d43332ef445f4f846e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-07-01T16:11:14Z",
    "title_canon_sha256": "8f547d379dcaa0b4bb427d3d2a6c88e9b9576b6e3ad9c01457b358be8f010ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007004",
    "kind": "arxiv",
    "version": 1
  }
}