Pith Number

pith:VZPYFDDH

pith:2003:VZPYFDDHUBZMYMKBPPVVIEIZSL

not attested not anchored not stored refs pending

Cubic threefolds and abelian varieties of dimension five

Robert Friedman, Sebastian Casalaina-Martin

arxiv:math/0307015 v2 · 2003-07-01 · 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{VZPYFDDHUBZMYMKBPPVVIEIZSL}

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	2026-05-18T02:24:58.820060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5f828c67a072cc31417beb54111992d04765f00bc09780eacfd70a3814217c

Aliases

arxiv: math/0307015 · arxiv_version: math/0307015v2 · doi: 10.48550/arxiv.math/0307015 · pith_short_12: VZPYFDDHUBZM · pith_short_16: VZPYFDDHUBZMYMKB · pith_short_8: VZPYFDDH

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/VZPYFDDHUBZMYMKBPPVVIEIZSL \
  | 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: ae5f828c67a072cc31417beb54111992d04765f00bc09780eacfd70a3814217c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42b4c42d99895f9a05a47fd946532bb7e1e6904aab8acbe5af33f4284050703d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-07-01T18:36:16Z",
    "title_canon_sha256": "6c1de8ed8ab2f535547d3590a108bfc9de2d441de8d7e7634d9c46379ae5fae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307015",
    "kind": "arxiv",
    "version": 2
  }
}