Pith Number

pith:NLELPMK4

pith:2005:NLELPMK4YNH4FLOIBCC5MVSVJ2

not attested not anchored not stored refs pending

Calabi-Yau Varieties with Fibre Structures

Kang Zuo, Yi Zhang

arxiv:math/0504141 v3 · 2005-04-07 · math.AG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLELPMK4YNH4FLOIBCC5MVSVJ2}

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	2026-05-18T04:04:17.474695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac8b7b15cc34fc2adc80885d656554eb551e508de8288b09ae26ee00ff8ff68

Aliases

arxiv: math/0504141 · arxiv_version: math/0504141v3 · doi: 10.48550/arxiv.math/0504141 · pith_short_12: NLELPMK4YNH4 · pith_short_16: NLELPMK4YNH4FLOI · pith_short_8: NLELPMK4

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/NLELPMK4YNH4FLOIBCC5MVSVJ2 \
  | 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: 6ac8b7b15cc34fc2adc80885d656554eb551e508de8288b09ae26ee00ff8ff68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160d6f22ddec3e1ef5698bd545bdc62b3cae4949a1d9f07adc2599ca2e7eaa78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2005-04-07T13:47:51Z",
    "title_canon_sha256": "067a1d7301e70b9ad93cba295b064fa71b270d9bbb100560401874655d19cdc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504141",
    "kind": "arxiv",
    "version": 3
  }
}