Pith Number

pith:MVE4Z3HN

pith:2015:MVE4Z3HN76X43T6PH3ZCPWNV5B

not attested not anchored not stored refs pending

Dwork families and $\mathcal{D}$-modules

Alberto Casta\~no Dom\'inguez

arxiv:1512.08390 v4 · 2015-12-28 · 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{MVE4Z3HN76X43T6PH3ZCPWNV5B}

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	2026-07-05T00:25:37.135832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6549ccecedffafcdcfcf3ef227d9b5e855c748eb4903a6d1f0bcc0d3e2465cbd

Aliases

arxiv: 1512.08390 · arxiv_version: 1512.08390v4 · doi: 10.48550/arxiv.1512.08390 · pith_short_12: MVE4Z3HN76X4 · pith_short_16: MVE4Z3HN76X43T6P · pith_short_8: MVE4Z3HN

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/MVE4Z3HN76X43T6PH3ZCPWNV5B \
  | 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: 6549ccecedffafcdcfcf3ef227d9b5e855c748eb4903a6d1f0bcc0d3e2465cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e6fc43e9e49c499cea7bc875bd6e74cd4a8e3ab449b5b36a3d0035aad979a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-28T12:27:57Z",
    "title_canon_sha256": "e5adb4bea6957545892a285ce183e45b392de5a3827cfc62aedcbd17eb52876b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08390",
    "kind": "arxiv",
    "version": 4
  }
}