Pith Number

pith:BW3KNQAO

pith:2024:BW3KNQAO7ZKKFDCOBKZI64UCRI

not attested not anchored not stored refs pending

Residual paramodularity of a certain Calabi-Yau threefold

Gonzalo Tornar\'ia, Neil Dummigan

arxiv:2412.14289 v1 · 2024-12-18 · 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{BW3KNQAO7ZKKFDCOBKZI64UCRI}

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	2026-07-05T09:51:45.251963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db6a6c00efe54a28c4e0ab28f72828a0cfb503f39d44531a2b54f24f12e413a

Aliases

arxiv: 2412.14289 · arxiv_version: 2412.14289v1 · doi: 10.48550/arxiv.2412.14289 · pith_short_12: BW3KNQAO7ZKK · pith_short_16: BW3KNQAO7ZKKFDCO · pith_short_8: BW3KNQAO

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/BW3KNQAO7ZKKFDCOBKZI64UCRI \
  | 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: 0db6a6c00efe54a28c4e0ab28f72828a0cfb503f39d44531a2b54f24f12e413a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fdc365a51a82182a2d3b159201adc1691d3c747a04fb7dd82f2de1ab080fae6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-18T19:30:48Z",
    "title_canon_sha256": "63f10b553b59b946ee18f12bee32b1f8854372a12a64af3de48861a90660ba1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14289",
    "kind": "arxiv",
    "version": 1
  }
}