Pith Number

pith:OK45F6GQ

pith:2015:OK45F6GQ6GVX6FQA4QVGOQWZ7F

not attested not anchored not stored refs pending

Measuring Complexity through Average Symmetry

Roberto C. Alamino

arxiv:1503.07218 v1 · 2015-03-24 · cond-mat.stat-mech · cond-mat.dis-nn · cs.IT · 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{OK45F6GQ6GVX6FQA4QVGOQWZ7F}

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	2026-05-18T02:20:28.047145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72b9d2f8d0f1ab7f1600e42a6742d9f95d87f42e1af7a22176b05196cf428b02

Aliases

arxiv: 1503.07218 · arxiv_version: 1503.07218v1 · doi: 10.48550/arxiv.1503.07218 · pith_short_12: OK45F6GQ6GVX · pith_short_16: OK45F6GQ6GVX6FQA · pith_short_8: OK45F6GQ

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/OK45F6GQ6GVX6FQA4QVGOQWZ7F \
  | 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: 72b9d2f8d0f1ab7f1600e42a6742d9f95d87f42e1af7a22176b05196cf428b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "674e9401cd0797bb2f8da7526e14ae437a0c33233e2ab0d966e44dea534a4109",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-03-24T22:16:39Z",
    "title_canon_sha256": "e8c7450113be379ad2addace4a104feeca5bdbd48d53bb1bc6faaba1d9ecf89b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07218",
    "kind": "arxiv",
    "version": 1
  }
}