Pith Number

pith:YKLMTAVZ

pith:2008:YKLMTAVZCRNXMLTRP3Z3SW2KLY

not attested not anchored not stored refs pending

Generalised exponential families and associated entropy functions

Jan Naudts

arxiv:0803.0104 v1 · 2008-03-02 · math-ph · 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{YKLMTAVZCRNXMLTRP3Z3SW2KLY}

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	2026-05-18T02:16:00.675169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c296c982b9145b762e717ef3b95b4a5e313890921229c5776744d0849275c0d6

Aliases

arxiv: 0803.0104 · arxiv_version: 0803.0104v1 · doi: 10.48550/arxiv.0803.0104 · pith_short_12: YKLMTAVZCRNX · pith_short_16: YKLMTAVZCRNXMLTR · pith_short_8: YKLMTAVZ

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/YKLMTAVZCRNXMLTRP3Z3SW2KLY \
  | 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: c296c982b9145b762e717ef3b95b4a5e313890921229c5776744d0849275c0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c342aedef311796ff366872017ae4b53b7fb4d2e260dc2ce348f10e6503d244",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-03-02T07:00:29Z",
    "title_canon_sha256": "648489e94ac358e4ade859d1351bc8887a1de945dba94d6a4d96a94aab67c6b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.0104",
    "kind": "arxiv",
    "version": 1
  }
}