Pith Number

pith:DN4FITUO

pith:2012:DN4FITUOLXDRHUDB27BPV4KN5D

not attested not anchored not stored refs pending

Central Approximation in Statistical Physics and Information Theory

Ryuhei Mori, Toshiyuki Tanaka

arxiv:1202.0655 v1 · 2012-02-03 · cs.IT · cond-mat.stat-mech · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DN4FITUOLXDRHUDB27BPV4KN5D}

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	2026-05-18T04:03:08.316775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b78544e8e5dc713d061d7c2faf14de8ebabd723b749bdf9d19d20ada774443e

Aliases

arxiv: 1202.0655 · arxiv_version: 1202.0655v1 · doi: 10.48550/arxiv.1202.0655 · pith_short_12: DN4FITUOLXDR · pith_short_16: DN4FITUOLXDRHUDB · pith_short_8: DN4FITUO

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/DN4FITUOLXDRHUDB27BPV4KN5D \
  | 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: 1b78544e8e5dc713d061d7c2faf14de8ebabd723b749bdf9d19d20ada774443e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c400b0d48d09bbe04c394fc74f3b9403c1d2b486a172deb879d8791776fab7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-03T10:41:36Z",
    "title_canon_sha256": "aab81442f2ec87fbb907f502b569ed4adf2d0b52083770ccc8b2397335491992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0655",
    "kind": "arxiv",
    "version": 1
  }
}