Pith Number

pith:WR7LCG7E

pith:2012:WR7LCG7EKCZHWGAYGOCZWWY4BD

not attested not anchored not stored refs pending

Supports, regularity, and $\boxplus$-infinite divisibility for measures of the form $(\mu^{\boxplus p})^{\uplus q}$

Hao-Wei Huang

arxiv:1209.5787 v1 · 2012-09-25 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WR7LCG7EKCZHWGAYGOCZWWY4BD}

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	2026-05-18T03:44:46.420174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47eb11be450b27b181833859b5b1c08d628021715b6a97ca234ac756b94c989

Aliases

arxiv: 1209.5787 · arxiv_version: 1209.5787v1 · doi: 10.48550/arxiv.1209.5787 · pith_short_12: WR7LCG7EKCZH · pith_short_16: WR7LCG7EKCZHWGAY · pith_short_8: WR7LCG7E

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/WR7LCG7EKCZHWGAYGOCZWWY4BD \
  | 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: b47eb11be450b27b181833859b5b1c08d628021715b6a97ca234ac756b94c989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2343e2592942fa27eedfdbcd84523d749d17c10d7b0c5c192ec8a2fbbc5b1014",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-09-25T22:37:13Z",
    "title_canon_sha256": "815488a6fe89622021c45fbe3d93a2a83a92a056e7044109fb0273dc490b3f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5787",
    "kind": "arxiv",
    "version": 1
  }
}