Pith Number

pith:D3BDNFUD

pith:2023:D3BDNFUDDHPWZCGXF2XCGRLRN2

not attested not anchored not stored refs pending

Phase transition for the late points of random walk

Alexis Pr\'evost, Perla Sousi, Pierre-Fran\c{c}ois Rodriguez

arxiv:2309.03192 v1 · 2023-09-06 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3BDNFUDDHPWZCGXF2XCGRLRN2}

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

Large Deviations of Cover Time of Tori in Dimensions $d\geq 3$

Receipt and verification

First computed	2026-07-05T06:48:21.952610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec236968319df6c88d72eae2345716eb90d5930f2c33612ada789037d7f5a8e

Aliases

arxiv: 2309.03192 · arxiv_version: 2309.03192v1 · doi: 10.48550/arxiv.2309.03192 · pith_short_12: D3BDNFUDDHPW · pith_short_16: D3BDNFUDDHPWZCGX · pith_short_8: D3BDNFUD

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/D3BDNFUDDHPWZCGXF2XCGRLRN2 \
  | 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: 1ec236968319df6c88d72eae2345716eb90d5930f2c33612ada789037d7f5a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d38c58b8441afc9705dc5a1b9c752d3fb91730b17e817c8ee7c7f91d72d24c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-09-06T17:55:03Z",
    "title_canon_sha256": "04019208112885e9ebc21851670cba58c1772601664b2c63b565f39c7abc610c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.03192",
    "kind": "arxiv",
    "version": 1
  }
}