Pith Number

pith:N7FNOWKW

pith:2017:N7FNOWKW6ELOOP3QN2252GEBOV

not attested not anchored not stored refs pending

A Variational Principle for the Specific Entropy for Symbolic Systems with Uncountable Alphabets

D. Aguiar, L. Cioletti, R. Ruviaro

arxiv:1707.01762 v3 · 2017-07-06 · math.DS · 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{N7FNOWKW6ELOOP3QN2252GEBOV}

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	2026-05-18T00:13:55.299150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fcad75956f116e73f706eb5dd1881756bab9861b8ceb03ce491d83b89c05371

Aliases

arxiv: 1707.01762 · arxiv_version: 1707.01762v3 · doi: 10.48550/arxiv.1707.01762 · pith_short_12: N7FNOWKW6ELO · pith_short_16: N7FNOWKW6ELOOP3Q · pith_short_8: N7FNOWKW

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/N7FNOWKW6ELOOP3QN2252GEBOV \
  | 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: 6fcad75956f116e73f706eb5dd1881756bab9861b8ceb03ce491d83b89c05371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50b0dea1ef1a8a3ba1cb8258f697497b6599b6cd7d171e11bd4dd94bcac68825",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-06T12:58:24Z",
    "title_canon_sha256": "6e6bddca607cd0e72970080af7a70e54bfa837f6aa5f1f033b956a1264893792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01762",
    "kind": "arxiv",
    "version": 3
  }
}