Pith Number

pith:W6UPPWFW

pith:2013:W6UPPWFWRATIIBSMJ6MNXJWNN5

not attested not anchored not stored refs pending

Derived-equivalent rational threefolds

John Lesieutre

arxiv:1311.0056 v1 · 2013-10-31 · 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{W6UPPWFWRATIIBSMJ6MNXJWNN5}

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	2026-05-18T03:08:16.179658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a8f7d8b6882684064c4f98dba6cd6f5dab0dd4ee34ca61cc1da862f58fdcec

Aliases

arxiv: 1311.0056 · arxiv_version: 1311.0056v1 · doi: 10.48550/arxiv.1311.0056 · pith_short_12: W6UPPWFWRATI · pith_short_16: W6UPPWFWRATIIBSM · pith_short_8: W6UPPWFW

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/W6UPPWFWRATIIBSMJ6MNXJWNN5 \
  | 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: b7a8f7d8b6882684064c4f98dba6cd6f5dab0dd4ee34ca61cc1da862f58fdcec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a81da332eae08a41d11930901a3951ce21869ddc51a2cb10449a44b32e7aab6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-31T22:34:42Z",
    "title_canon_sha256": "cd69b6ef9b08bdb2fea073a228e4047ea217fbee2de8553de52d7c2ca09e64ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0056",
    "kind": "arxiv",
    "version": 1
  }
}