Pith Number

pith:ORQ7TW7X

pith:2012:ORQ7TW7XJ2ELJVVTT4EAMATOJV

not attested not anchored not stored refs pending

A functional analytic approach to perturbations of the Lorentz gas

Hong-Kun Zhang, Mark F. Demers

arxiv:1210.1261 v1 · 2012-10-03 · 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{ORQ7TW7XJ2ELJVVTT4EAMATOJV}

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	2026-05-18T01:54:06.042694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7461f9dbf74e88b4d6b39f0806026e4d4c996568313bd31161476dac45285a37

Aliases

arxiv: 1210.1261 · arxiv_version: 1210.1261v1 · doi: 10.48550/arxiv.1210.1261 · pith_short_12: ORQ7TW7XJ2EL · pith_short_16: ORQ7TW7XJ2ELJVVT · pith_short_8: ORQ7TW7X

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/ORQ7TW7XJ2ELJVVTT4EAMATOJV \
  | 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: 7461f9dbf74e88b4d6b39f0806026e4d4c996568313bd31161476dac45285a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8705cb1ea0ea2e0d347f10c90d4f6a38a4ab51606a02d4db91db3f737809a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-03T23:43:51Z",
    "title_canon_sha256": "b07ce072852210491a57576474f44878213e67e5fd925c482ef26cc3b8cab749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1261",
    "kind": "arxiv",
    "version": 1
  }
}