Pith Number

pith:K3GEPWAU

pith:2013:K3GEPWAU2W2Y2C3E6L36FJDPHQ

not attested not anchored not stored refs pending

Self-intersections of trajectories of Lorentz process

Francoise Pene (LM)

arxiv:1304.0884 v1 · 2013-04-03 · 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{K3GEPWAU2W2Y2C3E6L36FJDPHQ}

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	2026-05-18T03:29:05.856301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56cc47d814d5b58d0b64f2f7e2a46f3c1b1b0a4f1252b5843b41f9b230cbe5be

Aliases

arxiv: 1304.0884 · arxiv_version: 1304.0884v1 · doi: 10.48550/arxiv.1304.0884 · pith_short_12: K3GEPWAU2W2Y · pith_short_16: K3GEPWAU2W2Y2C3E · pith_short_8: K3GEPWAU

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/K3GEPWAU2W2Y2C3E6L36FJDPHQ \
  | 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: 56cc47d814d5b58d0b64f2f7e2a46f3c1b1b0a4f1252b5843b41f9b230cbe5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e7042c564e7693fd7f8324451fbc69d7fbd3f84a4667ef63a209a30a255636",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-03T09:26:43Z",
    "title_canon_sha256": "a4782a8778fa28bfdd6b4629d415b040a2e70d56a11a4c1461329baad5f2ea22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0884",
    "kind": "arxiv",
    "version": 1
  }
}