Pith Number

pith:7VRPFSZQ

pith:2014:7VRPFSZQRUOUUJRRMJQBS6MWVP

not attested not anchored not stored refs pending

On the complex zeros of Airy and Bessel functions and those of their derivatives

A. Gil, J. Segura

arxiv:1403.8113 v1 · 2014-03-31 · 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{7VRPFSZQRUOUUJRRMJQBS6MWVP}

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	2026-05-18T02:55:11.797084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd62f2cb308d1d4a26316260197996abd8141205ac551a859590f311a04677f9

Aliases

arxiv: 1403.8113 · arxiv_version: 1403.8113v1 · doi: 10.48550/arxiv.1403.8113 · pith_short_12: 7VRPFSZQRUOU · pith_short_16: 7VRPFSZQRUOUUJRR · pith_short_8: 7VRPFSZQ

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/7VRPFSZQRUOUUJRRMJQBS6MWVP \
  | 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: fd62f2cb308d1d4a26316260197996abd8141205ac551a859590f311a04677f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbae75ee4d8674e0bbf4020c28a3f4e9b9402a7da2160e5772356752fc03ba5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-31T18:14:54Z",
    "title_canon_sha256": "b785741aa31e15b0d80988754359a290a82295fd8db38eabe65cf047524c5071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.8113",
    "kind": "arxiv",
    "version": 1
  }
}