Pith Number

pith:TF2WOQL5

pith:2013:TF2WOQL5ZR6HP5HKNQZNACTTHO

not attested not anchored not stored refs pending

Large deviations for the local times of a random walk among random conductances in a growing box

Tilman Wolff, Wolfgang K\"onig

arxiv:1308.4520 v1 · 2013-08-21 · 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{TF2WOQL5ZR6HP5HKNQZNACTTHO}

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	2026-05-18T03:15:21.828156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997567417dcc7c77f4ea6c32d00a733b8f0aab28e9f8de186ef268158e6f7aed

Aliases

arxiv: 1308.4520 · arxiv_version: 1308.4520v1 · doi: 10.48550/arxiv.1308.4520 · pith_short_12: TF2WOQL5ZR6H · pith_short_16: TF2WOQL5ZR6HP5HK · pith_short_8: TF2WOQL5

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/TF2WOQL5ZR6HP5HKNQZNACTTHO \
  | 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: 997567417dcc7c77f4ea6c32d00a733b8f0aab28e9f8de186ef268158e6f7aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "674ded51e35931fbde2a7f6879f6b1bfe5d6136b07aaf2e4c3c1d9321825753d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-21T09:36:23Z",
    "title_canon_sha256": "df0f171e4ae6c0b8c2b2e3074ff6d642e5514997dfe46664f72968dead1f7622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4520",
    "kind": "arxiv",
    "version": 1
  }
}