Pith Number

pith:SWF4KOXX

pith:2018:SWF4KOXXRSIF66VKV2I2HFWZ45

not attested not anchored not stored refs pending

Note on quasi-polarized canonical Calabi-Yau threefolds

Jie Liu

arxiv:1809.00481 v1 · 2018-09-03 · 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{SWF4KOXXRSIF66VKV2I2HFWZ45}

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	2026-05-18T00:06:35.133231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958bc53af78c905f7aaaae91a396d9e761ae83fb9001372a3e4787f7a5522fe1

Aliases

arxiv: 1809.00481 · arxiv_version: 1809.00481v1 · doi: 10.48550/arxiv.1809.00481 · pith_short_12: SWF4KOXXRSIF · pith_short_16: SWF4KOXXRSIF66VK · pith_short_8: SWF4KOXX

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/SWF4KOXXRSIF66VKV2I2HFWZ45 \
  | 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: 958bc53af78c905f7aaaae91a396d9e761ae83fb9001372a3e4787f7a5522fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be0b57f4711c8bfbb13f9adc21986ac98c8fe86b095eec68bdb9254ebf02714f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-03T07:54:20Z",
    "title_canon_sha256": "cb2472cdad65e8526fb06d7f2d5b98353939ce78f4b66fb215018bfd3b509e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00481",
    "kind": "arxiv",
    "version": 1
  }
}