Pith Number

pith:7GSOASZQ

pith:2024:7GSOASZQBOQBK2HAHAYMZP5V3S

not attested not anchored not stored refs pending

Random Combinatorial Billiards and Stoned Exclusion Processes

Colin Defant

arxiv:2406.07858 v2 · 2024-06-12 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GSOASZQBOQBK2HAHAYMZP5V3S}

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.

Cited by

1 paper in Pith

Permutons from Demazure Products

Receipt and verification

First computed	2026-06-10T01:09:11.684649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a4e04b300ba01568e03830ccbfb5dc817b74e9622fdbada539cf93b1edc35d

Aliases

arxiv: 2406.07858 · arxiv_version: 2406.07858v2 · doi: 10.48550/arxiv.2406.07858 · pith_short_12: 7GSOASZQBOQB · pith_short_16: 7GSOASZQBOQBK2HA · pith_short_8: 7GSOASZQ

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/7GSOASZQBOQBK2HAHAYMZP5V3S \
  | 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: f9a4e04b300ba01568e03830ccbfb5dc817b74e9622fdbada539cf93b1edc35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f83fdb4c11627964ea8421294687f1356a4dc237355577f57ede4754c44315b4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-06-12T04:20:00Z",
    "title_canon_sha256": "8c48db1f180ec1611ece235f21d05108a9ac8b3f2bb71ad01717018b9a05e0c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.07858",
    "kind": "arxiv",
    "version": 2
  }
}