Pith Number

pith:G4PVEKIB

pith:2009:G4PVEKIBDIHVNM6M7RHVOU7VY5

not attested not anchored not stored refs pending

$p$-adic properties of coefficients of weakly holomorphic modular forms

Darrin Doud, Paul Jenkins

arxiv:0910.2997 v1 · 2009-10-15 · 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{G4PVEKIBDIHVNM6M7RHVOU7VY5}

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	2026-05-18T03:25:46.865757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371f5229011a0f56b3ccfc4f5753f5c74be7e52683a80e1face2b6b0280b92c7

Aliases

arxiv: 0910.2997 · arxiv_version: 0910.2997v1 · doi: 10.48550/arxiv.0910.2997 · pith_short_12: G4PVEKIBDIHV · pith_short_16: G4PVEKIBDIHVNM6M · pith_short_8: G4PVEKIB

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/G4PVEKIBDIHVNM6M7RHVOU7VY5 \
  | 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: 371f5229011a0f56b3ccfc4f5753f5c74be7e52683a80e1face2b6b0280b92c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f10824d36b3379d7774c9be62a54f51c0de8729e2f5c04c73250cad845e1951f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-15T21:18:36Z",
    "title_canon_sha256": "2228b4a17f71636dceb61c89c829922bfed09367a9055972b19a781b9ef9685d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2997",
    "kind": "arxiv",
    "version": 1
  }
}