Pith Number

pith:MGMH6MD7

pith:2003:MGMH6MD77BLEZUEPRZ6GDZ7ZIB

not attested not anchored not stored refs pending

On the distribution of free-path lengths for the periodic Lorentz gas III

Emanuele Caglioti, Francois Golse

arxiv:math/0301300 v1 · 2003-01-25 · 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{MGMH6MD77BLEZUEPRZ6GDZ7ZIB}

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	2026-05-18T03:50:00.325530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61987f307ff8564cd08f8e7c61e7f9404525db27b23e937bfd477d20238e31f5

Aliases

arxiv: math/0301300 · arxiv_version: math/0301300v1 · doi: 10.48550/arxiv.math/0301300 · pith_short_12: MGMH6MD77BLE · pith_short_16: MGMH6MD77BLEZUEP · pith_short_8: MGMH6MD7

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/MGMH6MD77BLEZUEPRZ6GDZ7ZIB \
  | 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: 61987f307ff8564cd08f8e7c61e7f9404525db27b23e937bfd477d20238e31f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f16ee6b718a15f8cad453e7bf403483449bac3a18ef00a12341517b65f8002d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-01-25T19:28:06Z",
    "title_canon_sha256": "4fd016f74c3697b44a6cdc9fa6e26b762ea61c57526c985482b6b6bb4bdefd70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301300",
    "kind": "arxiv",
    "version": 1
  }
}