Pith Number

pith:VD4KIRDY

pith:2014:VD4KIRDYFATA6TCGPNY4ZRLQBZ

not attested not anchored not stored refs pending

Lectures on BCOV holomorphic anomaly equations

Atsushi Kanazawa, Jie Zhou

arxiv:1409.4105 v3 · 2014-09-14 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD4KIRDYFATA6TCGPNY4ZRLQBZ}

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	2026-05-18T01:34:35.513172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f8a4447828260f4c467b71ccc5700e4250d7e8bd565f57288ab8fff55f625c

Aliases

arxiv: 1409.4105 · arxiv_version: 1409.4105v3 · doi: 10.48550/arxiv.1409.4105 · pith_short_12: VD4KIRDYFATA · pith_short_16: VD4KIRDYFATA6TCG · pith_short_8: VD4KIRDY

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/VD4KIRDYFATA6TCGPNY4ZRLQBZ \
  | 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: a8f8a4447828260f4c467b71ccc5700e4250d7e8bd565f57288ab8fff55f625c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36cae14c7bc4b043aa68cd1d98f3d19cbbd90b059f39cc37e8ccdd6b0fdd0a1b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-14T20:58:43Z",
    "title_canon_sha256": "3c3dc0e27cf7d1bd2d5e8acdf9121036953838073fdb9ad05f3394c79f4bd7e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4105",
    "kind": "arxiv",
    "version": 3
  }
}