Pith Number

pith:FKZBQI5L

pith:2024:FKZBQI5LDVVANIF4ZWVNFNKUW2

not attested not anchored not stored refs pending

Random walks on random walks: non-perturbative results in high dimensions

Florian V\"ollering, Stein Andreas Bethuelsen

arxiv:2411.13926 v1 · 2024-11-21 · 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{FKZBQI5LDVVANIF4ZWVNFNKUW2}

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	2026-07-05T09:38:39.064240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab21823ab1d6a06a0bccdaad2b554b6831c8c7ae10dd1759a943a0ab68e9b11

Aliases

arxiv: 2411.13926 · arxiv_version: 2411.13926v1 · doi: 10.48550/arxiv.2411.13926 · pith_short_12: FKZBQI5LDVVA · pith_short_16: FKZBQI5LDVVANIF4 · pith_short_8: FKZBQI5L

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/FKZBQI5LDVVANIF4ZWVNFNKUW2 \
  | 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: 2ab21823ab1d6a06a0bccdaad2b554b6831c8c7ae10dd1759a943a0ab68e9b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9180c1e4b14d9091ded1bcbbe66c0f5bb913be1fbcd8422821d1b315107d1dba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-21T08:21:38Z",
    "title_canon_sha256": "b8f6c2352e227c62a53f7fe0caaf615d2434d3335ce9d9f79a7c732569f8245a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13926",
    "kind": "arxiv",
    "version": 1
  }
}