Pith Number

pith:L5JRAHDH

pith:2017:L5JRAHDH4QI3AKVWYRXOYUPDGW

not attested not anchored not stored refs pending

Indefinite Integrals of Spherical Bessel Functions

Jolyon K. Bloomfield, Stephen H. P. Face, Zander Moss

arxiv:1703.06428 v1 · 2017-03-06 · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5JRAHDH4QI3AKVWYRXOYUPDGW}

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	2026-05-18T00:48:22.901287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f53101c67e411b02ab6c46eec51e335ab72a354bb48f9adc3c657f01be59cec

Aliases

arxiv: 1703.06428 · arxiv_version: 1703.06428v1 · doi: 10.48550/arxiv.1703.06428 · pith_short_12: L5JRAHDH4QI3 · pith_short_16: L5JRAHDH4QI3AKVW · pith_short_8: L5JRAHDH

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/L5JRAHDH4QI3AKVWYRXOYUPDGW \
  | 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: 5f53101c67e411b02ab6c46eec51e335ab72a354bb48f9adc3c657f01be59cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db27828d4ce157d646d581d91f51be5c9da7a667fa6a8bc3c0ef7a24e80880a4",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-06T18:21:47Z",
    "title_canon_sha256": "4722f279dd5b2c657ac26b1b045d38cc320b8515eae923efddc5a6cf44ef5a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06428",
    "kind": "arxiv",
    "version": 1
  }
}