Pith Number

pith:X4VJWLW2

pith:2011:X4VJWLW2ENDSG4YTN3LRBDGFVN

not attested not anchored not stored refs pending

A new class of hypercomplex analytic cusp forms

Denis Constales, Dennis Grob, John Ryan, Rolf Soeren Krausshar

arxiv:1102.3818 v1 · 2011-02-18 · math.NT · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4VJWLW2ENDSG4YTN3LRBDGFVN}

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	2026-05-18T04:28:20.846251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2a9b2eda23472373136ed7108cc5ab5d246f5e8de521ebd457d7d739c9af17

Aliases

arxiv: 1102.3818 · arxiv_version: 1102.3818v1 · doi: 10.48550/arxiv.1102.3818 · pith_short_12: X4VJWLW2ENDS · pith_short_16: X4VJWLW2ENDSG4YT · pith_short_8: X4VJWLW2

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/X4VJWLW2ENDSG4YTN3LRBDGFVN \
  | 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: bf2a9b2eda23472373136ed7108cc5ab5d246f5e8de521ebd457d7d739c9af17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa3fc04f515078a90cac6a9248305f24fa4ee6c9669c3121f4ded9cba2ff3629",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-18T12:08:22Z",
    "title_canon_sha256": "77f73073d0063fca93edadc7a73ea20b2ec3e2ab41839599144fa8ffe09a65db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3818",
    "kind": "arxiv",
    "version": 1
  }
}