Pith Number

pith:A64OVQPT

pith:2015:A64OVQPTBT34RRJ6LRBMTNVPFD

not attested not anchored not stored refs pending

Explicit biregular/birational geometry of affine threefolds: completions of A^3 into del Pezzo fibrations and Mori conic bundles

Adrien Dubouloz (IMB), Takashi Kishimoto

arxiv:1508.01792 v1 · 2015-08-07 · 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{A64OVQPTBT34RRJ6LRBMTNVPFD}

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	2026-05-18T01:09:46.125781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b8eac1f30cf7c8c53e5c42c9b6af28f731add7aa5ea4e83582c745cde8f8f6

Aliases

arxiv: 1508.01792 · arxiv_version: 1508.01792v1 · doi: 10.48550/arxiv.1508.01792 · pith_short_12: A64OVQPTBT34 · pith_short_16: A64OVQPTBT34RRJ6 · pith_short_8: A64OVQPT

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/A64OVQPTBT34RRJ6LRBMTNVPFD \
  | 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: 07b8eac1f30cf7c8c53e5c42c9b6af28f731add7aa5ea4e83582c745cde8f8f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a8f421b675e41378d301026f8b1bb3fc89d3f52d00c2603b460e0b31d3ffa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-07T19:55:07Z",
    "title_canon_sha256": "4c56aef79cbcec3bd81ef711144495ba1a8feeee6a96b50259938d212aa2ff4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01792",
    "kind": "arxiv",
    "version": 1
  }
}