Pith Number

pith:2EAPOZV2

pith:2026:2EAPOZV2GEO5GLKHUXUBXRUDVJ

not attested not anchored not stored refs pending

Infinite collisions of simple random walks on random recursive trees generated by Bernoulli sequences

Feng Wang, Jia-shan Tang, Xian-Yuan Wu

arxiv:2607.02916 v1 · 2026-07-03 · 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{2EAPOZV2GEO5GLKHUXUBXRUDVJ}

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	2026-07-07T01:16:36.379379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d100f766ba311dd32d47a5e81bc683aa78bb825fc720291e5aca3ab3f1c73190

Aliases

arxiv: 2607.02916 · arxiv_version: 2607.02916v1 · doi: 10.48550/arxiv.2607.02916 · pith_short_12: 2EAPOZV2GEO5 · pith_short_16: 2EAPOZV2GEO5GLKH · pith_short_8: 2EAPOZV2

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/2EAPOZV2GEO5GLKHUXUBXRUDVJ \
  | 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: d100f766ba311dd32d47a5e81bc683aa78bb825fc720291e5aca3ab3f1c73190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4d0bb5572dfda848165d2532265bfe9ab943b93e993cdacee4f6b2014e0498",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-03T03:23:17Z",
    "title_canon_sha256": "edfba1ea10ce6a928703b41369612e051b1d8e0edd82afee2163a7f07ffb2150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02916",
    "kind": "arxiv",
    "version": 1
  }
}