Pith Number

pith:VJT2QW6Y

pith:2013:VJT2QW6YCUVKFEYBIFJONYNCBK

not attested not anchored not stored refs pending

Random walk in a high density dynamic random environment

Frank den Hollander, Harry Kesten, Vladas Sidoravicius

arxiv:1305.0923 v1 · 2013-05-04 · 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{VJT2QW6YCUVKFEYBIFJONYNCBK}

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	2026-05-18T03:26:31.269309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa67a85bd8152aa293014152e6e1a20ab8dc5b98f840f42e00ce4e01bdb5df40

Aliases

arxiv: 1305.0923 · arxiv_version: 1305.0923v1 · doi: 10.48550/arxiv.1305.0923 · pith_short_12: VJT2QW6YCUVK · pith_short_16: VJT2QW6YCUVKFEYB · pith_short_8: VJT2QW6Y

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/VJT2QW6YCUVKFEYBIFJONYNCBK \
  | 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: aa67a85bd8152aa293014152e6e1a20ab8dc5b98f840f42e00ce4e01bdb5df40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df3925c3e267b13b19c59745d825155681cdb2062facbabb327fe9d73a84ac0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-04T14:32:07Z",
    "title_canon_sha256": "e07b68966eae42aa8e6e5518e7aa601452275c2db344b4efd8c439506248f411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0923",
    "kind": "arxiv",
    "version": 1
  }
}