Pith Number

pith:45M4JIER

pith:2011:45M4JIERAWXWZO2AZLAQYB3KAN

not attested not anchored not stored refs pending

Twisted Traces of CM values of Harmonic Weak Maass Forms

Claudia Alfes, Stephan Ehlen

arxiv:1108.3961 v2 · 2011-08-19 · 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{45M4JIERAWXWZO2AZLAQYB3KAN}

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	2026-05-18T03:29:03.990294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e759c4a09105af6cbb40cac10c076a0358edeb5cea86be8d90da67d4221460ba

Aliases

arxiv: 1108.3961 · arxiv_version: 1108.3961v2 · doi: 10.48550/arxiv.1108.3961 · pith_short_12: 45M4JIERAWXW · pith_short_16: 45M4JIERAWXWZO2A · pith_short_8: 45M4JIER

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/45M4JIERAWXWZO2AZLAQYB3KAN \
  | 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: e759c4a09105af6cbb40cac10c076a0358edeb5cea86be8d90da67d4221460ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39e04f997f0b05c5ac1f532fb7c248437ad43e5848392a584c11d55c7cb2865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-19T13:24:12Z",
    "title_canon_sha256": "8090160e57e50a2aa521e399b7a0c2a72aea004bf06d6372a13760a2498751c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3961",
    "kind": "arxiv",
    "version": 2
  }
}