Pith Number

pith:KH4HBPW7

pith:2014:KH4HBPW7MOZAMJKFSUUSA3DFEG

not attested not anchored not stored refs pending

On pattern entropy of weak model sets

Christian Huck, Christoph Richard

arxiv:1412.6307 v4 · 2014-12-19 · math.CO · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KH4HBPW7MOZAMJKFSUUSA3DFEG}

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	2026-05-18T01:33:33.883551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f870bedf63b20625459529206c6521966e5d94f4d6f886588f7b9b356b44c5

Aliases

arxiv: 1412.6307 · arxiv_version: 1412.6307v4 · doi: 10.48550/arxiv.1412.6307 · pith_short_12: KH4HBPW7MOZA · pith_short_16: KH4HBPW7MOZAMJKF · pith_short_8: KH4HBPW7

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/KH4HBPW7MOZAMJKFSUUSA3DFEG \
  | 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: 51f870bedf63b20625459529206c6521966e5d94f4d6f886588f7b9b356b44c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3bf5418b55879c575026de854b8cdf9add48792a7bc2baf9d627ce2e96b9680",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-19T11:58:44Z",
    "title_canon_sha256": "23e774b491dacbc39db612c6270ed66099e74b544a03b61b015cfeafffc611cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6307",
    "kind": "arxiv",
    "version": 4
  }
}