Pith Number

pith:M4GIYNXW

pith:2012:M4GIYNXWWTEEWLJ2UCLS24QSW5

not attested not anchored not stored refs pending

A Further (Itakura-Saito/beta=0) Bi-stochaticization and Associated Clustering/Regionalization of the 3,107-County 1995-2000 U. S. Migration Network

Paul B. Slater

arxiv:1210.1840 v2 · 2012-10-05 · physics.soc-ph · cs.SI · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4GIYNXWWTEEWLJ2UCLS24QSW5}

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	2026-05-18T03:42:23.533065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670c8c36f6b4c84b2d3aa0972d7212b76cc9a0cd96433be67be9c51f24d1bc91

Aliases

arxiv: 1210.1840 · arxiv_version: 1210.1840v2 · doi: 10.48550/arxiv.1210.1840 · pith_short_12: M4GIYNXWWTEE · pith_short_16: M4GIYNXWWTEEWLJ2 · pith_short_8: M4GIYNXW

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/M4GIYNXWWTEEWLJ2UCLS24QSW5 \
  | 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: 670c8c36f6b4c84b2d3aa0972d7212b76cc9a0cd96433be67be9c51f24d1bc91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214f785c16d54f92005799a874e2a35c1fdfc5a92ca23e91f6a7ef1c37fc9778",
    "cross_cats_sorted": [
      "cs.SI",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-10-05T19:27:30Z",
    "title_canon_sha256": "0c1f30a2e5073545687b46b4cadd61356a38f20b4158f4a17a5dc5de694d8a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1840",
    "kind": "arxiv",
    "version": 2
  }
}