Pith Number

pith:JGJAYSZX

pith:2012:JGJAYSZXHWCR3L4FFISRA3NVIV

not attested not anchored not stored refs pending

The spherical Bessel and Struve functions and operational methods

D. Babusci, G. Dattoli, K. A. Penson, K. Gorska

arxiv:1211.5681 v1 · 2012-11-24 · 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{JGJAYSZXHWCR3L4FFISRA3NVIV}

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	2026-05-18T02:51:57.226530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49920c4b373d851daf852a25106db5455684defc31cab8911ff5f31293a3e4bf

Aliases

arxiv: 1211.5681 · arxiv_version: 1211.5681v1 · doi: 10.48550/arxiv.1211.5681 · pith_short_12: JGJAYSZXHWCR · pith_short_16: JGJAYSZXHWCR3L4F · pith_short_8: JGJAYSZX

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/JGJAYSZXHWCR3L4FFISRA3NVIV \
  | 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: 49920c4b373d851daf852a25106db5455684defc31cab8911ff5f31293a3e4bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e1f8a2e626f2c8b4cf198ec2b8ba18ff92c5d7dbf6189ce52590657c08b3c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-24T16:02:50Z",
    "title_canon_sha256": "ab848971f1444b13ac0756bdd193521e005fdd314bde116f876762ab6f4e3f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5681",
    "kind": "arxiv",
    "version": 1
  }
}