Pith Number

pith:JHBDSGV3

pith:2016:JHBDSGV3XNF5XZSDO7HEGQODTQ

not attested not anchored not stored refs pending

The Primal versus the Dual Ising Model

Mehdi Molkaraie

arxiv:1607.00866 v3 · 2016-07-04 · cs.IT · math.IT · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHBDSGV3XNF5XZSDO7HEGQODTQ}

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	2026-05-18T00:10:14.019981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49c2391abbbb4bdbe64377ce4341c39c0ed9e63b0c8b87fb78d7d600ab3b4c96

Aliases

arxiv: 1607.00866 · arxiv_version: 1607.00866v3 · doi: 10.48550/arxiv.1607.00866 · pith_short_12: JHBDSGV3XNF5 · pith_short_16: JHBDSGV3XNF5XZSD · pith_short_8: JHBDSGV3

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/JHBDSGV3XNF5XZSDO7HEGQODTQ \
  | 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: 49c2391abbbb4bdbe64377ce4341c39c0ed9e63b0c8b87fb78d7d600ab3b4c96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d99cb16e1241410e32f8c0dbebb41a4ba49361f046c615ed2d127d29edc32b",
    "cross_cats_sorted": [
      "math.IT",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-04T12:54:30Z",
    "title_canon_sha256": "ea733851eb06e1c11c9dc78da507b69be174a4776e093217d5e70cbffad59132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00866",
    "kind": "arxiv",
    "version": 3
  }
}