Pith Number

pith:COLYGCO4

pith:2018:COLYGCO4S6TPT4OJ3RLUIH6N7T

not attested not anchored not stored refs pending

Eta quotients and Rademacher sums

David Broadhurst, Kevin Acres

arxiv:1810.07478 v1 · 2018-10-17 · 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{COLYGCO4S6TPT4OJ3RLUIH6N7T}

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	2026-05-18T00:02:56.275188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13978309dc97a6f9f1c9dc57441fcdfce1d29626091feb711c3a888bd3e9f284

Aliases

arxiv: 1810.07478 · arxiv_version: 1810.07478v1 · doi: 10.48550/arxiv.1810.07478 · pith_short_12: COLYGCO4S6TP · pith_short_16: COLYGCO4S6TPT4OJ · pith_short_8: COLYGCO4

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/COLYGCO4S6TPT4OJ3RLUIH6N7T \
  | 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: 13978309dc97a6f9f1c9dc57441fcdfce1d29626091feb711c3a888bd3e9f284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f2796d6af447ebaa8c5b0bf09ae0d491354ce37857a00ce7060e53804a50c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-17T11:22:11Z",
    "title_canon_sha256": "41db24584488316fdd380929cad3e4ec584069c6b47ac09d3e62ecbbf543ebbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07478",
    "kind": "arxiv",
    "version": 1
  }
}