Pith Number

pith:EIIWLC5Z

pith:2011:EIIWLC5ZPVGI5PGCM6ZXMQA47C

not attested not anchored not stored refs pending

Diffusion for the periodic wind-tree model

Pascal Hubert, Samuel Leli\`evre, Vincent Delecroix

arxiv:1107.1810 v4 · 2011-07-09 · math.DS · 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{EIIWLC5ZPVGI5PGCM6ZXMQA47C}

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	2026-05-18T00:40:08.858166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2211658bb97d4c8ebcc267b376401cf8b79163deece40e04baa6e5c7899a9394

Aliases

arxiv: 1107.1810 · arxiv_version: 1107.1810v4 · doi: 10.48550/arxiv.1107.1810 · pith_short_12: EIIWLC5ZPVGI · pith_short_16: EIIWLC5ZPVGI5PGC · pith_short_8: EIIWLC5Z

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/EIIWLC5ZPVGI5PGCM6ZXMQA47C \
  | 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: 2211658bb97d4c8ebcc267b376401cf8b79163deece40e04baa6e5c7899a9394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a2695983e4c91ea0f680002154659d1b3af72c7be9ec4fe9cd95ee4ab0dd41",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-09T19:01:55Z",
    "title_canon_sha256": "a53a95af5e0be8d581af4d2f2eb681c47a968d0425d36442e27ef8fea6b31178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1810",
    "kind": "arxiv",
    "version": 4
  }
}