Pith Number

pith:Y3CFW7CT

pith:2026:Y3CFW7CTIAU665SXG7HAVNPGXE

not attested not anchored not stored refs pending

The Parabolic Mellin Transform: Gamma and Zeta Integral Representations

Chen Tong, Peter Reinhard Hansen

arxiv:2602.17007 v2 · 2026-02-19 · math.NT · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3CFW7CTIAU665SXG7HAVNPGXE}

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	2026-06-05T00:13:45.639027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c45b7c534029ef765737ce0ab5e6b918c91e15b9e9f74bb5910df1e6888a6d

Aliases

arxiv: 2602.17007 · arxiv_version: 2602.17007v2 · doi: 10.48550/arxiv.2602.17007 · pith_short_12: Y3CFW7CTIAU6 · pith_short_16: Y3CFW7CTIAU665SX · pith_short_8: Y3CFW7CT

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/Y3CFW7CTIAU665SXG7HAVNPGXE \
  | 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: c6c45b7c534029ef765737ce0ab5e6b918c91e15b9e9f74bb5910df1e6888a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339f28303e464913c42b03c948f868c8cba240b8a76bbdb901c440583035011a",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-02-19T02:09:32Z",
    "title_canon_sha256": "a40271034982e77ea234d0c4fcfff5ef1737e0008de5c74c3849d76853237446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.17007",
    "kind": "arxiv",
    "version": 2
  }
}