Pith Number

pith:PUNZL2TR

pith:2019:PUNZL2TRXSYNMOHSXQ4XGS2C4R

not attested not anchored not stored refs pending

Log-minor distributions and an application to estimating mean subsystem entropy

Alice C. Schwarze, Mason A. Porter, Philip S. Chodrow

arxiv:1901.09456 v1 · 2019-01-27 · math.PR · cs.SI · math.RA · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUNZL2TRXSYNMOHSXQ4XGS2C4R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:55:16.659910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1b95ea71bcb0d638f2bc39734b42e45d04a2f50edda452e7cfc4983faa7c17

Aliases

arxiv: 1901.09456 · arxiv_version: 1901.09456v1 · doi: 10.48550/arxiv.1901.09456 · pith_short_12: PUNZL2TRXSYN · pith_short_16: PUNZL2TRXSYNMOHS · pith_short_8: PUNZL2TR

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/PUNZL2TRXSYNMOHSXQ4XGS2C4R \
  | 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: 7d1b95ea71bcb0d638f2bc39734b42e45d04a2f50edda452e7cfc4983faa7c17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0e2dc70d8b066881b384325d36af628e2aa2eaea474ada5c25f182584b0d610",
    "cross_cats_sorted": [
      "cs.SI",
      "math.RA",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-27T22:59:11Z",
    "title_canon_sha256": "097ba0594052423ce5627ac1352f156ca695f8bedeb8c147756c99a93f7f2469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09456",
    "kind": "arxiv",
    "version": 1
  }
}