Pith Number

pith:4TXSD33E

pith:2025:4TXSD33EP75K5HXWCVFZAVB3WP

not attested not anchored not stored refs pending

Reduced Random Walks in the Hyperbolic Plane$\hspace{1pt}!\hspace{-3.8pt}?$

Colin Defant, Mitchell Lee

arxiv:2504.19367 v1 · 2025-04-27 · math.PR · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TXSD33EP75K5HXWCVFZAVB3WP}

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	2026-07-05T10:54:56.274010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ef21ef647ffaae9ef6154b90543bb3f371a84ce6ddba481a831a8c3b26f4f6

Aliases

arxiv: 2504.19367 · arxiv_version: 2504.19367v1 · doi: 10.48550/arxiv.2504.19367 · pith_short_12: 4TXSD33EP75K · pith_short_16: 4TXSD33EP75K5HXW · pith_short_8: 4TXSD33E

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/4TXSD33EP75K5HXWCVFZAVB3WP \
  | 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: e4ef21ef647ffaae9ef6154b90543bb3f371a84ce6ddba481a831a8c3b26f4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b50e6f7d66fc20472d32c0ed8b17377c0b21aaa8486be30b861a0d9fc0df2a",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-27T22:13:38Z",
    "title_canon_sha256": "022eaa3c9596dd70259e70c001c9bb09be31c6315d002d4a303a216e8028a09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19367",
    "kind": "arxiv",
    "version": 1
  }
}