Pith Number

pith:WXQ765O2

pith:2006:WXQ765O2FOTNIGRSKVMII3UG2P

not attested not anchored not stored refs pending

Fourier--Bessel functions of singular continuous measures and their many asymptotics

Giorgio Mantica

arxiv:math-ph/0603069 v1 · 2006-03-27 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXQ765O2FOTNIGRSKVMII3UG2P}

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	2026-05-18T04:19:32.805632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e1ff75da2ba6d41a325558846e86d3cdb162509f884e3bebb080bde1f9a346

Aliases

arxiv: math-ph/0603069 · arxiv_version: math-ph/0603069v1 · doi: 10.48550/arxiv.math-ph/0603069 · pith_short_12: WXQ765O2FOTN · pith_short_16: WXQ765O2FOTNIGRS · pith_short_8: WXQ765O2

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/WXQ765O2FOTNIGRSKVMII3UG2P \
  | 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: b5e1ff75da2ba6d41a325558846e86d3cdb162509f884e3bebb080bde1f9a346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322d5f0e4dc551763b05bcb3313b78fc220e22e807e12f52713651bfe7e2cc6d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-03-27T13:53:34Z",
    "title_canon_sha256": "d0b69f0754bdaa2dba9d686ce7b6b589fc74a600fe3d2c18e95625bac5faa3ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0603069",
    "kind": "arxiv",
    "version": 1
  }
}