Pith Number

pith:BDIWTRUU

pith:2012:BDIWTRUUG6NHEHZ7LIZZFM4Q4N

not attested not anchored not stored refs pending

Tail asymptotics of free path lengths for the periodic Lorentz process. On Dettmann's geometric conjectures

Domokos Szasz, Peter Nandori, Tamas Varju

arxiv:1210.2231 v3 · 2012-10-08 · 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{BDIWTRUUG6NHEHZ7LIZZFM4Q4N}

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	2026-05-18T01:18:23.755570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08d169c694379a721f3f5a3392b390e35908883999ba54eda82a137d44aae93f

Aliases

arxiv: 1210.2231 · arxiv_version: 1210.2231v3 · doi: 10.48550/arxiv.1210.2231 · pith_short_12: BDIWTRUUG6NH · pith_short_16: BDIWTRUUG6NHEHZ7 · pith_short_8: BDIWTRUU

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/BDIWTRUUG6NHEHZ7LIZZFM4Q4N \
  | 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: 08d169c694379a721f3f5a3392b390e35908883999ba54eda82a137d44aae93f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37d61d616c1d7f0338ecd528e9c88f6b8ff9cc1d5aad89b219fc1bef06b0f55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-08T10:58:58Z",
    "title_canon_sha256": "ef12676f6db231f31a6108a42a9007800755f092e076ed9cf9fb7e7516f6f7a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2231",
    "kind": "arxiv",
    "version": 3
  }
}