Pith Number

pith:XZSLH4EV

pith:2015:XZSLH4EVGAY4IXHWFYU2NZ7UMX

not attested not anchored not stored refs pending

Certain Integrals Arising from Ramanujan's Notebooks

Armin Straub, Bruce C. Berndt

arxiv:1509.00886 v3 · 2015-09-02 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZSLH4EVGAY4IXHWFYU2NZ7UMX}

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	2026-05-18T01:30:14.913475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be64b3f0953031c45cf62e29a6e7f465e2aa092d4c46d83451faee34f4d699ed

Aliases

arxiv: 1509.00886 · arxiv_version: 1509.00886v3 · doi: 10.48550/arxiv.1509.00886 · pith_short_12: XZSLH4EVGAY4 · pith_short_16: XZSLH4EVGAY4IXHW · pith_short_8: XZSLH4EV

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/XZSLH4EVGAY4IXHWFYU2NZ7UMX \
  | 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: be64b3f0953031c45cf62e29a6e7f465e2aa092d4c46d83451faee34f4d699ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08274821a75c21f6433bff96abd3f242b0c089a0151c104fc8bfacd2793d6e5a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-02T21:55:26Z",
    "title_canon_sha256": "7e31b3a4cf503e34bf8552ac12955192ca10f23d9a0404343bbc65bf68cb72f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00886",
    "kind": "arxiv",
    "version": 3
  }
}