Pith Number

pith:O7DFRL4A

pith:2013:O7DFRL4APJSEJEM24JH7QPSUPZ

not attested not anchored not stored refs pending

Loop Calculus for Non-Binary Alphabets using Concepts from Information Geometry

Ryuhei Mori

arxiv:1309.6550 v3 · 2013-09-25 · 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{O7DFRL4APJSEJEM24JH7QPSUPZ}

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	2026-05-18T02:30:55.150055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c658af807a6444919ae24ff83e547e6d995aa3dd88fd2c4465ee99e1ccf6bf

Aliases

arxiv: 1309.6550 · arxiv_version: 1309.6550v3 · doi: 10.48550/arxiv.1309.6550 · pith_short_12: O7DFRL4APJSE · pith_short_16: O7DFRL4APJSEJEM2 · pith_short_8: O7DFRL4A

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/O7DFRL4APJSEJEM24JH7QPSUPZ \
  | 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: 77c658af807a6444919ae24ff83e547e6d995aa3dd88fd2c4465ee99e1ccf6bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e70f7cca6fd25b4c3a63f6c5af5de8f6c2f78a4c443a2e076f2752b6c049708",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-25T15:51:23Z",
    "title_canon_sha256": "4e6a0fa6d0ee81e7e6480cbbfa481907b1577810502baa4024f92314619f13e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6550",
    "kind": "arxiv",
    "version": 3
  }
}