Pith Number

pith:O2EWTMPC

pith:2011:O2EWTMPCX23Z5PL7NFJEHEHOPO

not attested not anchored not stored refs pending

Local variational principle concerning entropy of a sofic group action

Guo Hua Zhang

arxiv:1109.3244 v1 · 2011-09-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2EWTMPCX23Z5PL7NFJEHEHOPO}

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	2026-05-18T04:12:57.184035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768969b1e2beb79ebd7f69524390ee7b8da10a9e3d20ae6c2590e0825274915d

Aliases

arxiv: 1109.3244 · arxiv_version: 1109.3244v1 · doi: 10.48550/arxiv.1109.3244 · pith_short_12: O2EWTMPCX23Z · pith_short_16: O2EWTMPCX23Z5PL7 · pith_short_8: O2EWTMPC

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/O2EWTMPCX23Z5PL7NFJEHEHOPO \
  | 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: 768969b1e2beb79ebd7f69524390ee7b8da10a9e3d20ae6c2590e0825274915d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "966c294e74774fbfeae59fa604ed53ca47282d49e12fa32ada43114bab32df50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-15T02:50:58Z",
    "title_canon_sha256": "a89979d7725cdfb61ce266fddfdf9a12682f1c15e42a3f6219a827f775201d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3244",
    "kind": "arxiv",
    "version": 1
  }
}