Pith Number

pith:HGCLATWT

pith:2011:HGCLATWT6VBVKB6XQJTMUQLI2E

not attested not anchored not stored refs pending

Two-divisibility of the coefficients of certain weakly holomorphic modular forms

Darrin Doud, John Lopez, Paul Jenkins

arxiv:1105.0684 v2 · 2011-05-03 · 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{HGCLATWT6VBVKB6XQJTMUQLI2E}

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	2026-05-18T03:25:46.778997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3984b04ed3f5435507d78266ca4168d1184fcf577f10e574737e6dce290daf55

Aliases

arxiv: 1105.0684 · arxiv_version: 1105.0684v2 · doi: 10.48550/arxiv.1105.0684 · pith_short_12: HGCLATWT6VBV · pith_short_16: HGCLATWT6VBVKB6X · pith_short_8: HGCLATWT

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/HGCLATWT6VBVKB6XQJTMUQLI2E \
  | 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: 3984b04ed3f5435507d78266ca4168d1184fcf577f10e574737e6dce290daf55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a090b3ecc767d7f7e0b110bf024963d536ce334426bf05ac274b038aec83dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-03T20:22:41Z",
    "title_canon_sha256": "c127a636990d5c53a641bf358959fabb54e868a98de789307f8db7c5b41bd4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0684",
    "kind": "arxiv",
    "version": 2
  }
}