Pith Number

pith:D3A36LP2

pith:2008:D3A36LP2UP46LU4K7ISKY7PCMG

not attested not anchored not stored refs pending

On the annealed large deviation rate function for a multi-dimensional random walk in random environment

Jonathon Peterson, Ofer Zeitouni

arxiv:0812.3619 v2 · 2008-12-18 · 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{D3A36LP2UP46LU4K7ISKY7PCMG}

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	2026-05-18T01:12:36.854729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec1bf2dfaa3f9e5d38afa24ac7de261a10b439b8f874e102e85ae966781f608

Aliases

arxiv: 0812.3619 · arxiv_version: 0812.3619v2 · doi: 10.48550/arxiv.0812.3619 · pith_short_12: D3A36LP2UP46 · pith_short_16: D3A36LP2UP46LU4K · pith_short_8: D3A36LP2

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/D3A36LP2UP46LU4K7ISKY7PCMG \
  | 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: 1ec1bf2dfaa3f9e5d38afa24ac7de261a10b439b8f874e102e85ae966781f608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42af5153f6e1751cec53cfd55a807bbb40e7c289566b6b3ce27767a5c6e846d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-18T18:51:45Z",
    "title_canon_sha256": "c6e59961f927401599ec5c2b29c017825e27bee1b6178017e93297ffb7c38922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3619",
    "kind": "arxiv",
    "version": 2
  }
}