Pith Number

pith:VBTS4K4Z

pith:2024:VBTS4K4ZASYTH45YUCF3DMFP2M

not attested not anchored not stored refs pending

The joint distribution of first return times and of the number of distinct sites visited by a 1D random walk before returning to the origin

Eytan Katzav, Mordechai Gruda, Ofer Biham, Reimer K\"uhn

arxiv:2411.18576 v2 · 2024-11-27 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBTS4K4ZASYTH45YUCF3DMFP2M}

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	2026-07-05T09:59:20.730896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8672e2b9904b133f3b8a08bb1b0afd311c605478d36e2f02155f3fa23eab85f

Aliases

arxiv: 2411.18576 · arxiv_version: 2411.18576v2 · doi: 10.48550/arxiv.2411.18576 · pith_short_12: VBTS4K4ZASYT · pith_short_16: VBTS4K4ZASYTH45Y · pith_short_8: VBTS4K4Z

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/VBTS4K4ZASYTH45YUCF3DMFP2M \
  | 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: a8672e2b9904b133f3b8a08bb1b0afd311c605478d36e2f02155f3fa23eab85f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5002d26dcdbd2971401eac27082944252b20f02a06a1c40ad015e77139de41b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-11-27T18:23:33Z",
    "title_canon_sha256": "0e95fbfc6d4d4cbb3b889b360eb0cd74de4289c13aa2c22d171ddbde0eb388c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18576",
    "kind": "arxiv",
    "version": 2
  }
}