Pith Number

pith:BWZ6VQM3

pith:2008:BWZ6VQM3ZPH2NAORFO62PABEOP

not attested not anchored not stored refs pending

On Sp_4 modularity of Picard--Fuchs differential equations for Calabi--Yau threefolds (with an appendix by Vicentiu Pasol)

Wadim Zudilin, Yifan Yang

arxiv:0803.3322 v2 · 2008-03-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWZ6VQM3ZPH2NAORFO62PABEOP}

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	2026-05-18T00:17:02.303491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db3eac19bcbcfa681d12bbda7802473cb1a886ae1a5f6d51163091800a1a6f4

Aliases

arxiv: 0803.3322 · arxiv_version: 0803.3322v2 · doi: 10.48550/arxiv.0803.3322 · pith_short_12: BWZ6VQM3ZPH2 · pith_short_16: BWZ6VQM3ZPH2NAOR · pith_short_8: BWZ6VQM3

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/BWZ6VQM3ZPH2NAORFO62PABEOP \
  | 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: 0db3eac19bcbcfa681d12bbda7802473cb1a886ae1a5f6d51163091800a1a6f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e2eb686271dd8d498533dbcf76f944bd93b8600cc1ce2b9d05c87cbc8b42463",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-03-23T13:58:58Z",
    "title_canon_sha256": "3f8775600960e0b69e12251c82abda5f92b829f9b5bb1087a49b2602404c8638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3322",
    "kind": "arxiv",
    "version": 2
  }
}