Pith Number

pith:7CSZMGQI

pith:2015:7CSZMGQIJNQL3ONXFNY7LQVQDY

not attested not anchored not stored refs pending

Exact general solution to the three-dimensional Ising model and a self-consistency equation for the nearest-neighbors' correlations

Vitaly V. Kocharovsky, Vladimir V. Kocharovsky

arxiv:1510.07327 v3 · 2015-10-26 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CSZMGQIJNQL3ONXFNY7LQVQDY}

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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	2026-05-18T01:18:19.056087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a5961a084b60bdb9b72b71f5c2b01e34c1013be4f0cd585b2a6ddd5e8d8688

Aliases

arxiv: 1510.07327 · arxiv_version: 1510.07327v3 · doi: 10.48550/arxiv.1510.07327 · pith_short_12: 7CSZMGQIJNQL · pith_short_16: 7CSZMGQIJNQL3ONX · pith_short_8: 7CSZMGQI

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/7CSZMGQIJNQL3ONXFNY7LQVQDY \
  | 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: f8a5961a084b60bdb9b72b71f5c2b01e34c1013be4f0cd585b2a6ddd5e8d8688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "896521b8e78fc7d58182c453a48a1d3256ad82ef4015aaf77e79c4edf390b5a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-10-26T00:01:15Z",
    "title_canon_sha256": "74dd5d9dd643780988c2f0ce64e776ea0e76d912be689764e7ecfb59fc6091a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07327",
    "kind": "arxiv",
    "version": 3
  }
}