Pith Number

pith:5IYSECEH

pith:2018:5IYSECEHJFVPAEADSHTZZG6J3Q

not attested not anchored not stored refs pending

The evaluation of infinite sums of products of Bessel functions

R B Paris

arxiv:1803.02757 v2 · 2018-03-07 · 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{5IYSECEHJFVPAEADSHTZZG6J3Q}

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	2026-05-18T00:20:13.496640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea31220887496af0100391e79c9bc9dc1da9ac028531d14e90961ed6772b60bd

Aliases

arxiv: 1803.02757 · arxiv_version: 1803.02757v2 · doi: 10.48550/arxiv.1803.02757 · pith_short_12: 5IYSECEHJFVP · pith_short_16: 5IYSECEHJFVPAEAD · pith_short_8: 5IYSECEH

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/5IYSECEHJFVPAEADSHTZZG6J3Q \
  | 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: ea31220887496af0100391e79c9bc9dc1da9ac028531d14e90961ed6772b60bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e7776af0ad1c4152eca5a2783a3eb8a94d37e75b3150fa6d3feeb002ebe00b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-07T16:49:37Z",
    "title_canon_sha256": "8a4ab8f5112965d443acd84c8b4ca3270cfbf875bc9c76de9dca2cf96c44b372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02757",
    "kind": "arxiv",
    "version": 2
  }
}