Pith Number

pith:MZYTSFJ5

pith:2016:MZYTSFJ5RM3KZHV774SEVDBRTC

not attested not anchored not stored refs pending

Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions

Banu Y{\i}lmaz Ya\c{s}ar, Mehmet Ali \"Ozarslan

arxiv:1604.05163 v1 · 2016-04-02 · 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{MZYTSFJ5RM3KZHV774SEVDBRTC}

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	2026-05-18T01:16:55.486974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667139153d8b36ac9ebfff244a8c3198a7630ef7bc8f04d0e2644a553748aa69

Aliases

arxiv: 1604.05163 · arxiv_version: 1604.05163v1 · doi: 10.48550/arxiv.1604.05163 · pith_short_12: MZYTSFJ5RM3K · pith_short_16: MZYTSFJ5RM3KZHV7 · pith_short_8: MZYTSFJ5

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/MZYTSFJ5RM3KZHV774SEVDBRTC \
  | 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: 667139153d8b36ac9ebfff244a8c3198a7630ef7bc8f04d0e2644a553748aa69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6d4f7e69a7c6a64a0da20e3f6cd5c5dd8e3209fb04b4cb7d0d8a98fa8407f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-02T16:48:56Z",
    "title_canon_sha256": "e66a561116e0fd0582eb6067b221de40097e135bcb0bf2a31ddbc55d548aeee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05163",
    "kind": "arxiv",
    "version": 1
  }
}