Pith Number

pith:IYP3VMKY

pith:2011:IYP3VMKYFEXQIGOZUDE5SCONC5

not attested not anchored not stored refs pending

Bijection between spin $S=\frac{p^{M}-1}{2}$ and a cluster of $M$ spins $\sigma=\frac{p-1}{2}$

N. Sh. Izmailian, Onofre Rojas, S. M. de Souza

arxiv:1104.4368 v1 · 2011-04-22 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYP3VMKYFEXQIGOZUDE5SCONC5}

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	2026-05-18T02:02:16.476113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

461fbab158292f0419d9a0c9d909cd177fa640db476dbbd3f364768957d0ba20

Aliases

arxiv: 1104.4368 · arxiv_version: 1104.4368v1 · doi: 10.48550/arxiv.1104.4368 · pith_short_12: IYP3VMKYFEXQ · pith_short_16: IYP3VMKYFEXQIGOZ · pith_short_8: IYP3VMKY

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/IYP3VMKYFEXQIGOZUDE5SCONC5 \
  | 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: 461fbab158292f0419d9a0c9d909cd177fa640db476dbbd3f364768957d0ba20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "632f9de6110e38939c137cd75df115d50a7e90ea06c8d9c23abcf4918b75c9a7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-22T00:16:45Z",
    "title_canon_sha256": "679e3f97f718750966c2359ce8cfcd3260bef83da6337bb9e882519d606695f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4368",
    "kind": "arxiv",
    "version": 1
  }
}