Pith Number

pith:WK6ZYP3W

pith:2015:WK6ZYP3WVWE3TYVB7NGG6VNQ7A

not attested not anchored not stored refs pending

Minimality of the Ehrenfest wind-tree model

Alba M\'alaga Sabogal (LMO, I2M), Serge Troubetzkoy (I2M)

arxiv:1506.00814 v2 · 2015-06-02 · 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{WK6ZYP3WVWE3TYVB7NGG6VNQ7A}

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	2026-05-18T01:22:57.748152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bd9c3f76ad89b9e2a1fb4c6f55b0f81ddb9a60e90d3aae174eb89f116ffdc1

Aliases

arxiv: 1506.00814 · arxiv_version: 1506.00814v2 · doi: 10.48550/arxiv.1506.00814 · pith_short_12: WK6ZYP3WVWE3 · pith_short_16: WK6ZYP3WVWE3TYVB · pith_short_8: WK6ZYP3W

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/WK6ZYP3WVWE3TYVB7NGG6VNQ7A \
  | 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: b2bd9c3f76ad89b9e2a1fb4c6f55b0f81ddb9a60e90d3aae174eb89f116ffdc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3bb99a9d0e7f667dc13fd34fa0bbca8ee299d34dca210d872d6f2d6fa298a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-02T09:46:37Z",
    "title_canon_sha256": "251b0512eb78db76ddfc958856292df3bf1016127c0f575d46371d022aa980fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00814",
    "kind": "arxiv",
    "version": 2
  }
}