Pith Number

pith:B52VHVQ5

pith:2013:B52VHVQ5TLLD5BCSFXMY2KCYCQ

not attested not anchored not stored refs pending

Modular forms, de Rham cohomology and congruences

Anthony J. Scholl, Matija Kazalicki

arxiv:1301.5876 v2 · 2013-01-24 · math.NT · 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{B52VHVQ5TLLD5BCSFXMY2KCYCQ}

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	2026-05-18T03:27:32.109195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f7553d61d9ad63e84522dd98d2858142d0cfa936e2ca3f4a02d03db01833e4d

Aliases

arxiv: 1301.5876 · arxiv_version: 1301.5876v2 · doi: 10.48550/arxiv.1301.5876 · pith_short_12: B52VHVQ5TLLD · pith_short_16: B52VHVQ5TLLD5BCS · pith_short_8: B52VHVQ5

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/B52VHVQ5TLLD5BCSFXMY2KCYCQ \
  | 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: 0f7553d61d9ad63e84522dd98d2858142d0cfa936e2ca3f4a02d03db01833e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6bcf83ca232079c05dbfb40531dda399fdc0644a5d36ec2935c51c6a0a8fc23",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-24T19:34:43Z",
    "title_canon_sha256": "64556b259b97f0104eba29255d3e3db8937f1863c4d7d9b1955f49bcbb5892dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5876",
    "kind": "arxiv",
    "version": 2
  }
}