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Pith Number

pith:7T377WTN

pith:2014:7T377WTNRR4JO5C3VGJRVWNCGX
not attested not anchored not stored refs pending

Bessel and Struve Related Integrals

Bernard J. Laurenzi

arxiv:1401.1703 v1 · 2014-01-08 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7T377WTNRR4JO5C3VGJRVWNCGX}

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 2026-05-18T03:02:58.066044Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fcf7ffda6d8c7897745ba9931ad9a235cf22b2a1f771d4449fb1e00b38c83e78

Aliases

arxiv: 1401.1703 · arxiv_version: 1401.1703v1 · doi: 10.48550/arxiv.1401.1703 · pith_short_12: 7T377WTNRR4J · pith_short_16: 7T377WTNRR4JO5C3 · pith_short_8: 7T377WTN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7T377WTNRR4JO5C3VGJRVWNCGX \
  | 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: fcf7ffda6d8c7897745ba9931ad9a235cf22b2a1f771d4449fb1e00b38c83e78
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2faf169d3596bb4b41354687078b560c99fc42c50311c7dd45e6972626ecd52d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-08T14:03:05Z",
    "title_canon_sha256": "f3f90efb647586b1a6d48d6acba41283d7ea77ca4d94a78fe4a8c02b32dbca91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1703",
    "kind": "arxiv",
    "version": 1
  }
}