Pith Number

pith:HMM75LT6

pith:2011:HMM75LT6TSNFFMBFUXSBINL7VP

not attested not anchored not stored refs pending

Sofic measure entropy via finite partitions

David Kerr

arxiv:1111.1345 v1 · 2011-11-05 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMM75LT6TSNFFMBFUXSBINL7VP}

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	2026-05-18T04:09:26.430580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b19feae7e9c9a52b025a5e414357fabd1c2ff29b557e0d870f9ff84f866705f

Aliases

arxiv: 1111.1345 · arxiv_version: 1111.1345v1 · doi: 10.48550/arxiv.1111.1345 · pith_short_12: HMM75LT6TSNF · pith_short_16: HMM75LT6TSNFFMBF · pith_short_8: HMM75LT6

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/HMM75LT6TSNFFMBFUXSBINL7VP \
  | 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: 3b19feae7e9c9a52b025a5e414357fabd1c2ff29b557e0d870f9ff84f866705f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "596180bf246ecf98e88c1c7f2d8986141d512c481b7fe3b6dc8bf845373313b7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-05T19:51:24Z",
    "title_canon_sha256": "8ff650bd52ce4c7d607fc7c66f67c9a9ede43f464736bb95ff082af7683ea26e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1345",
    "kind": "arxiv",
    "version": 1
  }
}