Pith Number

pith:6S2RR53W

pith:2016:6S2RR53W6MROT3Q4YYDOYSRRVY

not attested not anchored not stored refs pending

Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms

Ben Kane, Kathrin Bringmann

arxiv:1603.09250 v2 · 2016-03-30 · 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{6S2RR53W6MROT3Q4YYDOYSRRVY}

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	2026-05-18T01:11:17.410879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4b518f776f322e9ee1cc606ec4a31ae01e121f648f3aa4b5bd2baa3a8437ecf

Aliases

arxiv: 1603.09250 · arxiv_version: 1603.09250v2 · doi: 10.48550/arxiv.1603.09250 · pith_short_12: 6S2RR53W6MRO · pith_short_16: 6S2RR53W6MROT3Q4 · pith_short_8: 6S2RR53W

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/6S2RR53W6MROT3Q4YYDOYSRRVY \
  | 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: f4b518f776f322e9ee1cc606ec4a31ae01e121f648f3aa4b5bd2baa3a8437ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f2555e7d0fae1a5b3fd348115e622b9ac8eb2f2fbea09b1968cab79af3cf008",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-30T15:40:26Z",
    "title_canon_sha256": "71f7587c3a6828ff1f53654cc7ee05f248d93663c46d7da8489d375acfebd4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09250",
    "kind": "arxiv",
    "version": 2
  }
}