Pith Number

pith:7NYTCIHW

pith:2010:7NYTCIHWBDWWYONKGMH4WUXEYW

not attested not anchored not stored refs pending

Fourier coefficients of noncongruence cuspforms

Ling Long, Wen-Ching Winnie Li

arxiv:1012.3062 v1 · 2010-12-14 · 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{7NYTCIHWBDWWYONKGMH4WUXEYW}

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	2026-05-18T02:58:01.374819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb713120f608ed6c39aa330fcb52e4c59b8bb1b810aba32a77b81b1077779b04

Aliases

arxiv: 1012.3062 · arxiv_version: 1012.3062v1 · doi: 10.48550/arxiv.1012.3062 · pith_short_12: 7NYTCIHWBDWW · pith_short_16: 7NYTCIHWBDWWYONK · pith_short_8: 7NYTCIHW

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/7NYTCIHWBDWWYONKGMH4WUXEYW \
  | 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: fb713120f608ed6c39aa330fcb52e4c59b8bb1b810aba32a77b81b1077779b04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d713ca8a648b31a8afc670c31c4d01b4553f766a4be2c5b579a3cbd9fc008001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-14T15:39:45Z",
    "title_canon_sha256": "bbdad232ab0fcb8048f4f090607b8805a6b8a34475b3ce152bb8145877569e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3062",
    "kind": "arxiv",
    "version": 1
  }
}