Pith Number

pith:OAP6DRZR

pith:2010:OAP6DRZRO6EAD73VDFN7RJUSFZ

not attested not anchored not stored refs pending

Bounds for coefficients of cusp forms and extremal lattices

Jeremy Rouse, Paul Jenkins

arxiv:1012.5991 v2 · 2010-12-29 · 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{OAP6DRZRO6EAD73VDFN7RJUSFZ}

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	2026-05-18T04:03:54.576247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

701fe1c731778801ff75195bf8a6922e7c1113e2539b2d1f1acea0bafc3e4c91

Aliases

arxiv: 1012.5991 · arxiv_version: 1012.5991v2 · doi: 10.48550/arxiv.1012.5991 · pith_short_12: OAP6DRZRO6EA · pith_short_16: OAP6DRZRO6EAD73V · pith_short_8: OAP6DRZR

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/OAP6DRZRO6EAD73VDFN7RJUSFZ \
  | 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: 701fe1c731778801ff75195bf8a6922e7c1113e2539b2d1f1acea0bafc3e4c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd8494c43d4fbfaddeae9d40a3ec7214c169b9cee1146c84a909cc604b77927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-29T17:53:57Z",
    "title_canon_sha256": "047de16e13b4dcb9769944208f22310f08b18615d98cbcb1693573ddb3762837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5991",
    "kind": "arxiv",
    "version": 2
  }
}