Pith Number

pith:F4EII3FN

pith:2019:F4EII3FNNFRWYIEUY57AXEHPSL

not attested not anchored not stored refs pending

Axiomatic Origins of Mathematical Entropy: Grading Ordered Sets

Alexander Dukhovny

arxiv:1903.05240 v1 · 2019-03-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4EII3FNNFRWYIEUY57AXEHPSL}

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	2026-05-17T23:51:24.990183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f08846cad69636c2094c77e0b90ef92de533adde9bfb4f365108ac1c407dfa8

Aliases

arxiv: 1903.05240 · arxiv_version: 1903.05240v1 · doi: 10.48550/arxiv.1903.05240 · pith_short_12: F4EII3FNNFRW · pith_short_16: F4EII3FNNFRWYIEU · pith_short_8: F4EII3FN

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/F4EII3FNNFRWYIEUY57AXEHPSL \
  | 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: 2f08846cad69636c2094c77e0b90ef92de533adde9bfb4f365108ac1c407dfa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8200581a8b856dd8adb11509311d98f066c313cfd96fc632de3ef2e6def08ade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-12T22:20:45Z",
    "title_canon_sha256": "6f06de557f0e076b1256641535e819941363b4650678665aa24bd17c25fce8e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05240",
    "kind": "arxiv",
    "version": 1
  }
}