Pith Number

pith:WIKCVRVO

pith:2011:WIKCVRVOIUSNNCZHV3JQTX2V4U

not attested not anchored not stored refs pending

Products of Nearly Holomorphic Eigenforms

Catherine Trentacoste, Hui Xue, Jeffrey Beyerl, Kevin James

arxiv:1109.6001 v1 · 2011-09-27 · 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{WIKCVRVOIUSNNCZHV3JQTX2V4U}

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	2026-05-18T04:12:10.873759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2142ac6ae4524d68b27aed309df55e52ad3fa738fc589521170afc4ef10011d

Aliases

arxiv: 1109.6001 · arxiv_version: 1109.6001v1 · doi: 10.48550/arxiv.1109.6001 · pith_short_12: WIKCVRVOIUSN · pith_short_16: WIKCVRVOIUSNNCZH · pith_short_8: WIKCVRVO

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/WIKCVRVOIUSNNCZHV3JQTX2V4U \
  | 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: b2142ac6ae4524d68b27aed309df55e52ad3fa738fc589521170afc4ef10011d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d115526a5232fedda1a777c334b8bacd6ae4031b8ef13a561cb36052a71c948",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-27T19:42:35Z",
    "title_canon_sha256": "ca908732c3464e64f2d0e42343d6ce2a2cce9c1903bc8b731527d5feead5ffa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6001",
    "kind": "arxiv",
    "version": 1
  }
}