Pith Number

pith:X4FYLFPU

pith:2022:X4FYLFPULYDPQ56VFRCI2JVBNQ

not attested not anchored not stored refs pending

A generalization of certain associated Bessel functions in connection with a group of shifts

I. A. Shilin, J. Choi

arxiv:2204.00756 v2 · 2022-04-02 · 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{X4FYLFPULYDPQ56VFRCI2JVBNQ}

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	2026-07-05T06:23:34.993972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf0b8595f45e06f877d52c448d26a16c0672f31c64dd8b86a50ec1bb699780b2

Aliases

arxiv: 2204.00756 · arxiv_version: 2204.00756v2 · doi: 10.48550/arxiv.2204.00756 · pith_short_12: X4FYLFPULYDP · pith_short_16: X4FYLFPULYDPQ56V · pith_short_8: X4FYLFPU

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/X4FYLFPULYDPQ56VFRCI2JVBNQ \
  | 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: bf0b8595f45e06f877d52c448d26a16c0672f31c64dd8b86a50ec1bb699780b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff0965abaa289ddb37dd2f421dfa7009b81dac8d4b4e642f7f05ddbf302d764f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-04-02T04:13:03Z",
    "title_canon_sha256": "e58e2f9263d463782f5bffdb770485c6d9d1c9b81f554b30e6224828fce090e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.00756",
    "kind": "arxiv",
    "version": 2
  }
}