Pith Number

pith:U4GWUYVL

pith:2010:U4GWUYVLAV3SUKIILSOCR5NHQQ

not attested not anchored not stored refs pending

Semigroups of distributions with linear Jacobi parameters

Michael Anshelevich, Wojciech M{\l}otkowski

arxiv:1001.1540 v3 · 2010-01-10 · 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{U4GWUYVLAV3SUKIILSOCR5NHQQ}

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	2026-05-18T03:40:03.778740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70d6a62ab05772a29085c9c28f5a78439d53fea3d55c5db6e7b46bbd42a2dbb

Aliases

arxiv: 1001.1540 · arxiv_version: 1001.1540v3 · doi: 10.48550/arxiv.1001.1540 · pith_short_12: U4GWUYVLAV3S · pith_short_16: U4GWUYVLAV3SUKII · pith_short_8: U4GWUYVL

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/U4GWUYVLAV3SUKIILSOCR5NHQQ \
  | 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: a70d6a62ab05772a29085c9c28f5a78439d53fea3d55c5db6e7b46bbd42a2dbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "392ad3d78f9b192b4e88a8d5a9c325cc6f5dd28baaa1bbf77cbeb57fc22fa5fd",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-10T17:41:31Z",
    "title_canon_sha256": "7010401f003def3504bc20be00fbbf9558cbda49f90d9ae7720bb1459d0e4088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1540",
    "kind": "arxiv",
    "version": 3
  }
}