Pith Number

pith:6ZZUDYD7

pith:2024:6ZZUDYD7UJK2YM5VZKUOP3GEGK

not attested not anchored not stored refs pending

Ramanujan--Fine integrals for level 10

Jeffery Opoku, Shaun Cooper, Timothy Huber

arxiv:2410.19186 v2 · 2024-10-24 · 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{6ZZUDYD7UJK2YM5VZKUOP3GEGK}

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	2026-07-05T10:37:35.930203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67341e07fa255ac33b5caa8e7ecc43283c308b0abc17dff852c6d0021e05239

Aliases

arxiv: 2410.19186 · arxiv_version: 2410.19186v2 · doi: 10.48550/arxiv.2410.19186 · pith_short_12: 6ZZUDYD7UJK2 · pith_short_16: 6ZZUDYD7UJK2YM5V · pith_short_8: 6ZZUDYD7

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/6ZZUDYD7UJK2YM5VZKUOP3GEGK \
  | 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: f67341e07fa255ac33b5caa8e7ecc43283c308b0abc17dff852c6d0021e05239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2861d40638c37a619ce7b43c4f29a16ba37b6a1135c49e8ff74994cb373ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-24T22:36:17Z",
    "title_canon_sha256": "1267f50c3ebd19bddd999620d80b93914001d25a5f51feb670128c2cb6e085a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.19186",
    "kind": "arxiv",
    "version": 2
  }
}