Pith Number

pith:V3NU7JE2

pith:2011:V3NU7JE2KVOFT5KUPMUFUWCGBJ

not attested not anchored not stored refs pending

The Unequal Twins - Probability Distributions Aren't Everything

Igor M. Sokolov, Joseph Klafter, Yasmine Meroz

arxiv:1108.0783 v1 · 2011-08-03 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3NU7JE2KVOFT5KUPMUFUWCGBJ}

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	2026-05-18T03:23:22.410907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aedb4fa49a555c59f5547b285a58460a56ae02d8d1d3ebc57f9d025f952c612c

Aliases

arxiv: 1108.0783 · arxiv_version: 1108.0783v1 · doi: 10.48550/arxiv.1108.0783 · pith_short_12: V3NU7JE2KVOF · pith_short_16: V3NU7JE2KVOFT5KU · pith_short_8: V3NU7JE2

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/V3NU7JE2KVOFT5KUPMUFUWCGBJ \
  | 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: aedb4fa49a555c59f5547b285a58460a56ae02d8d1d3ebc57f9d025f952c612c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787e1e2e456cb1cd5e94c260b1dc199363a43423c84e174e7c6641f681a60ebb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-08-03T08:31:15Z",
    "title_canon_sha256": "8a39e7bff4feb77bcf69023c24d4422f51d84078105305d8a81479914887e6f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0783",
    "kind": "arxiv",
    "version": 1
  }
}