Pith Number

pith:QJ22QV7V

pith:2013:QJ22QV7VYOA7TU3DHDMOZK4XSL

not attested not anchored not stored refs pending

A characterization of the relative entropies

Eszter Gselmann, Gyula Maksa

arxiv:1307.0660 v1 · 2013-07-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJ22QV7VYOA7TU3DHDMOZK4XSL}

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	2026-05-18T03:19:14.640830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8275a857f5c381f9d36338d8ecab9792f61a8c3adde341303e346efabf40e13b

Aliases

arxiv: 1307.0660 · arxiv_version: 1307.0660v1 · doi: 10.48550/arxiv.1307.0660 · pith_short_12: QJ22QV7VYOA7 · pith_short_16: QJ22QV7VYOA7TU3D · pith_short_8: QJ22QV7V

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/QJ22QV7VYOA7TU3DHDMOZK4XSL \
  | 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: 8275a857f5c381f9d36338d8ecab9792f61a8c3adde341303e346efabf40e13b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d57f44ee17099bb1bf54d6c76bcb827785614482abe3ba26ffa2b6d2893174ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-02T10:13:09Z",
    "title_canon_sha256": "34b0d650c50ae62c3bec42b428b4ea8ca52185ec13aa6cb60b6a70da550eacb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0660",
    "kind": "arxiv",
    "version": 1
  }
}