Pith Number

pith:POVZDGGM

pith:2025:POVZDGGMLQGXSFHCL3OGMEKWNA

not attested not anchored not stored refs pending

Extremal process of the local time of simple random walk on a regular tree

Marek Biskup, Yoshihiro Abe

arxiv:2506.09592 v2 · 2025-06-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POVZDGGMLQGXSFHCL3OGMEKWNA}

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	2026-07-05T11:21:49.366423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bab9198cc5c0d7914e25edc6611566836bfd9cbac1f76ce75dcf810ee601b2d

Aliases

arxiv: 2506.09592 · arxiv_version: 2506.09592v2 · doi: 10.48550/arxiv.2506.09592 · pith_short_12: POVZDGGMLQGX · pith_short_16: POVZDGGMLQGXSFHC · pith_short_8: POVZDGGM

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/POVZDGGMLQGXSFHCL3OGMEKWNA \
  | 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: 7bab9198cc5c0d7914e25edc6611566836bfd9cbac1f76ce75dcf810ee601b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e3a14629ef6697511b53f4d4c38444d24ee93743cbfdfbcca3a1325b2b13a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-11T10:44:25Z",
    "title_canon_sha256": "3fe078a3991543829af01ff0cf894409f700c79e57f41247c5409fe8a3005576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09592",
    "kind": "arxiv",
    "version": 2
  }
}