Pith Number

pith:AYNH2MVJ

pith:2012:AYNH2MVJOLN6Y3WH2IDRACYVZ6

not attested not anchored not stored refs pending

Random walks with unbounded jumps among random conductances I: Uniform quenched CLT

Christophe Gallesco, Serguei Popov

arxiv:1210.0951 v1 · 2012-10-03 · 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{AYNH2MVJOLN6Y3WH2IDRACYVZ6}

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	2026-05-18T03:44:01.997684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

061a7d32a972dbec6ec7d207100b15cfa1a4f05ca30a8b7b1ca47f846c14f4ac

Aliases

arxiv: 1210.0951 · arxiv_version: 1210.0951v1 · doi: 10.48550/arxiv.1210.0951 · pith_short_12: AYNH2MVJOLN6 · pith_short_16: AYNH2MVJOLN6Y3WH · pith_short_8: AYNH2MVJ

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/AYNH2MVJOLN6Y3WH2IDRACYVZ6 \
  | 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: 061a7d32a972dbec6ec7d207100b15cfa1a4f05ca30a8b7b1ca47f846c14f4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3e6645f6720613f0a447fe30f211b384d8a98065c28bc89b43008485ca7c3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-03T00:54:20Z",
    "title_canon_sha256": "76e46c5514099cc4e1602ef5112b447b29405bb3f18afa31f266d9213e8a0292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0951",
    "kind": "arxiv",
    "version": 1
  }
}