Pith Number

pith:CPABAPHK

pith:2013:CPABAPHKS5ZCRKK53FJFDL3QOO

not attested not anchored not stored refs pending

Free Convolution Operators and Free Hall Transform

Guillaume C\'ebron

arxiv:1304.1713 v3 · 2013-04-05 · math.PR · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPABAPHKS5ZCRKK53FJFDL3QOO}

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	2026-05-18T03:13:45.958975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c0103cea977228a95dd95251af7073bd809d3e978f8a8bc3c6a44767ebebc2

Aliases

arxiv: 1304.1713 · arxiv_version: 1304.1713v3 · doi: 10.48550/arxiv.1304.1713 · pith_short_12: CPABAPHKS5ZC · pith_short_16: CPABAPHKS5ZCRKK5 · pith_short_8: CPABAPHK

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/CPABAPHKS5ZCRKK53FJFDL3QOO \
  | 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: 13c0103cea977228a95dd95251af7073bd809d3e978f8a8bc3c6a44767ebebc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c602430d82dc1b8a3795188ae01f230616fb702cba54372a964bbceb4741dbd",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-05T13:53:37Z",
    "title_canon_sha256": "0ac9ddcedaaae00ec8506c73e3b2d27d22a8d57e2053194141706845efd2a5d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1713",
    "kind": "arxiv",
    "version": 3
  }
}