Pith Number

pith:AJEWSF76

pith:2008:AJEWSF762ZXB6VU6572Y5RZD3I

not attested not anchored not stored refs pending

The spectrum of the random environment and localization of noise

Balint Virag, Dimitrios Cheliotis

arxiv:0804.4814 v1 · 2008-04-30 · math.PR · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJEWSF762ZXB6VU6572Y5RZD3I}

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	2026-05-18T04:08:44.998041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02496917fed66e1f569eeff58ec723da1290a82864b677b7dd675e28201ba2f2

Aliases

arxiv: 0804.4814 · arxiv_version: 0804.4814v1 · doi: 10.48550/arxiv.0804.4814 · pith_short_12: AJEWSF762ZXB · pith_short_16: AJEWSF762ZXB6VU6 · pith_short_8: AJEWSF76

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/AJEWSF762ZXB6VU6572Y5RZD3I \
  | 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: 02496917fed66e1f569eeff58ec723da1290a82864b677b7dd675e28201ba2f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34cf63bd1a2ab779389da2dd4447ab95efa43208b5794d332ac8bafdb6832729",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-04-30T12:51:46Z",
    "title_canon_sha256": "591e7c43c1afc256d50513bcee740c760a56f6f7399ac1ccae1f4cb137ba494f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4814",
    "kind": "arxiv",
    "version": 1
  }
}