Pith Number

pith:5M6F6KVH

pith:2025:5M6F6KVHNBAUWYATM46YM7KUDH

not attested not anchored not stored refs pending

Random Subwords and Billiard Walks in Affine Weyl Groups

Colin Defant, Elchanan Mossel, Pakawut Jiradilok

arxiv:2501.11095 v1 · 2025-01-19 · 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{5M6F6KVHNBAUWYATM46YM7KUDH}

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

Homology in Combinatorial Refraction Billiards

Receipt and verification

First computed	2026-07-05T10:03:03.280276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb3c5f2aa768414b6013673d867d5419f23b787e319f802e523b25321c0b8da4

Aliases

arxiv: 2501.11095 · arxiv_version: 2501.11095v1 · doi: 10.48550/arxiv.2501.11095 · pith_short_12: 5M6F6KVHNBAU · pith_short_16: 5M6F6KVHNBAUWYAT · pith_short_8: 5M6F6KVH

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/5M6F6KVHNBAUWYATM46YM7KUDH \
  | 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: eb3c5f2aa768414b6013673d867d5419f23b787e319f802e523b25321c0b8da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea88386aa5435fc6cdcc0b54c7e86223b75e3f95a25f94d88d26286a7855b4c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-19T16:11:18Z",
    "title_canon_sha256": "927a9db11f172c99e133e10aa336b3f5c171f771a99f8929d76380514bdfaba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11095",
    "kind": "arxiv",
    "version": 1
  }
}