Pith Number

pith:YUBRUSM4

pith:2003:YUBRUSM45LY5B27YQPK2JVHPK6

not attested not anchored not stored refs pending

On the integration of products of Whittaker functions with respect to the second index

Peter A. Becker

arxiv:math-ph/0310048 v1 · 2003-10-23 · math-ph · math.CV · 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{YUBRUSM45LY5B27YQPK2JVHPK6}

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	2026-05-18T01:38:33.647520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5031a499ceaf1d0ebf883d5a4d4ef57bda8d6e37c9caea37322961c08f24a41

Aliases

arxiv: math-ph/0310048 · arxiv_version: math-ph/0310048v1 · doi: 10.48550/arxiv.math-ph/0310048 · pith_short_12: YUBRUSM45LY5 · pith_short_16: YUBRUSM45LY5B27Y · pith_short_8: YUBRUSM4

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/YUBRUSM45LY5B27YQPK2JVHPK6 \
  | 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: c5031a499ceaf1d0ebf883d5a4d4ef57bda8d6e37c9caea37322961c08f24a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ffa579a4d91cc02fd9410b7790b34561f8c9dfe45dc59672a796e05b747f28",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-10-23T14:47:25Z",
    "title_canon_sha256": "00d9383553b6d08a1562ca3cf4139a95dcea5a33c0b197eb72b7dcf5ad8570b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0310048",
    "kind": "arxiv",
    "version": 1
  }
}