Pith Number

pith:JOEVCM3D

pith:2011:JOEVCM3D4J5ER4TZ3DI7P2THA3

not attested not anchored not stored refs pending

Harmonic Maass forms and periods

Jan Hendrik Bruinier

arxiv:1111.1508 v1 · 2011-11-07 · 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{JOEVCM3D4J5ER4TZ3DI7P2THA3}

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	2026-05-18T04:09:25.938313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b89513363e27a48f279d8d1f7ea6706fe849f0a14cace3fa4af938c756872d3

Aliases

arxiv: 1111.1508 · arxiv_version: 1111.1508v1 · doi: 10.48550/arxiv.1111.1508 · pith_short_12: JOEVCM3D4J5E · pith_short_16: JOEVCM3D4J5ER4TZ · pith_short_8: JOEVCM3D

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/JOEVCM3D4J5ER4TZ3DI7P2THA3 \
  | 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: 4b89513363e27a48f279d8d1f7ea6706fe849f0a14cace3fa4af938c756872d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25257bb0f04f1aa65b39adefbf618dac5a6ac7069a256be03ffa69edcbe737ac",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-07T08:58:49Z",
    "title_canon_sha256": "fc2f696568f5e363ef46b6985d83387df2e406ac4685f9965a64809e3bb6d93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1508",
    "kind": "arxiv",
    "version": 1
  }
}