Pith Number

pith:KW66IDQH

pith:2014:KW66IDQHE2A4QT2TEZWVCMQSN7

not attested not anchored not stored refs pending

Log rationally connected surfaces

Yi Zhu

arxiv:1412.2665 v3 · 2014-12-08 · 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{KW66IDQHE2A4QT2TEZWVCMQSN7}

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	2026-05-18T00:52:59.034740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55bde40e072681c84f53266d5132126fe72967ea67c30efa0656d4da32c882f9

Aliases

arxiv: 1412.2665 · arxiv_version: 1412.2665v3 · doi: 10.48550/arxiv.1412.2665 · pith_short_12: KW66IDQHE2A4 · pith_short_16: KW66IDQHE2A4QT2T · pith_short_8: KW66IDQH

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/KW66IDQHE2A4QT2TEZWVCMQSN7 \
  | 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: 55bde40e072681c84f53266d5132126fe72967ea67c30efa0656d4da32c882f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "233eba94624e64cda35f16099295f328849c3df4af677921be3331f5091c2cb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-08T17:00:44Z",
    "title_canon_sha256": "7ba03856a178f9fe36443da45b0f9b716857efbe0500f73eea9dc956b1ba973d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2665",
    "kind": "arxiv",
    "version": 3
  }
}