Pith Number

pith:WD5TWIZF

pith:2025:WD5TWIZFRBGHJZWMUALN6GAR3N

not attested not anchored not stored refs pending

Extending P\'olya's random walker beyond probability I. Complex weights

Martin Klazar, Richard Horsk\'y

arxiv:2505.12170 v2 · 2025-05-17 · math.PR · math.CO · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD5TWIZFRBGHJZWMUALN6GAR3N}

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

Extending the symbolic method in enumerative combinatorics. I

Receipt and verification

First computed	2026-07-05T11:11:22.598121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fb3b2325884c74e6cca016df1811db424485875d3ce8e972ea1bbb92d5ab0f

Aliases

arxiv: 2505.12170 · arxiv_version: 2505.12170v2 · doi: 10.48550/arxiv.2505.12170 · pith_short_12: WD5TWIZFRBGH · pith_short_16: WD5TWIZFRBGHJZWM · pith_short_8: WD5TWIZF

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/WD5TWIZFRBGHJZWMUALN6GAR3N \
  | 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: b0fb3b2325884c74e6cca016df1811db424485875d3ce8e972ea1bbb92d5ab0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15332a1e7ab9f411e4dfbeb0610cc7345a6951e7bd6e3b5b4baaf696beb4fa4",
    "cross_cats_sorted": [
      "math.CO",
      "math.HO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-17T23:02:05Z",
    "title_canon_sha256": "7ecfbde5e8a7d026e952dfdb58b76f57e1d16aa8d497b9e93a2479b812250387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12170",
    "kind": "arxiv",
    "version": 2
  }
}