Pith Number

pith:35WYIZQB

pith:2011:35WYIZQBDYV7DNPYSAA62F5AK5

not attested not anchored not stored refs pending

Spectacle cycles with coefficients and modular forms of half-integral weight

Jens Funke, John Millson

arxiv:1108.5309 v1 · 2011-08-26 · 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{35WYIZQBDYV7DNPYSAA62F5AK5}

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	2026-05-18T04:14:38.545922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df6d8466011e2bf1b5f89001ed17a057461e8239f4758425fba86a29a9c6dfb5

Aliases

arxiv: 1108.5309 · arxiv_version: 1108.5309v1 · doi: 10.48550/arxiv.1108.5309 · pith_short_12: 35WYIZQBDYV7 · pith_short_16: 35WYIZQBDYV7DNPY · pith_short_8: 35WYIZQB

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/35WYIZQBDYV7DNPYSAA62F5AK5 \
  | 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: df6d8466011e2bf1b5f89001ed17a057461e8239f4758425fba86a29a9c6dfb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43faec7ca995b6fb9114637a160c2924a8677516cf0c89ad6546cf5d7cc95255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-26T14:14:58Z",
    "title_canon_sha256": "898939af3d2eed1e67940c6caa5a8dbf4c5fdaf8b9724414cf2fc9a1936d9997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5309",
    "kind": "arxiv",
    "version": 1
  }
}