Pith Number

pith:5XMNB6ZE

pith:2017:5XMNB6ZEZNOGYHJJQRZOSNTOLW

not attested not anchored not stored refs pending

Entropy decay for the Kac evolution

Alissa Geisinger, Federico Bonetto, Michael Loss, Tobias Ried

arxiv:1707.09584 v1 · 2017-07-30 · math-ph · 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{5XMNB6ZEZNOGYHJJQRZOSNTOLW}

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	2026-05-18T00:03:19.571838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd8d0fb24cb5c6c1d298472e9366e5dbc61eba1f0ce96d2c857a60ae08f37d2

Aliases

arxiv: 1707.09584 · arxiv_version: 1707.09584v1 · doi: 10.48550/arxiv.1707.09584 · pith_short_12: 5XMNB6ZEZNOG · pith_short_16: 5XMNB6ZEZNOGYHJJ · pith_short_8: 5XMNB6ZE

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/5XMNB6ZEZNOGYHJJQRZOSNTOLW \
  | 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: edd8d0fb24cb5c6c1d298472e9366e5dbc61eba1f0ce96d2c857a60ae08f37d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd8dd052a19e2c5651330df443109c8a92af1a6a536a70b20419a25a1a4f3c4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-30T06:18:43Z",
    "title_canon_sha256": "6cae5bbc95ebf5fb017c5da281c8f3f77cd90f963d5244f6984f606c759288f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09584",
    "kind": "arxiv",
    "version": 1
  }
}