Pith Number

pith:HXNA3V7N

pith:2011:HXNA3V7NFXZFZ4A3CV4HFTINOU

not attested not anchored not stored refs pending

Discrete approximations to vector spin models

A. A. Opoku, A. C. D. van Enter, C. Kuelske

arxiv:1104.4241 v1 · 2011-04-21 · math-ph · 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{HXNA3V7NFXZFZ4A3CV4HFTINOU}

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	2026-05-18T02:02:16.832061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dda0dd7ed2df25cf01b157872cd0d750fd4711fb45ae4fa15a666556e14fa35

Aliases

arxiv: 1104.4241 · arxiv_version: 1104.4241v1 · doi: 10.48550/arxiv.1104.4241 · pith_short_12: HXNA3V7NFXZF · pith_short_16: HXNA3V7NFXZFZ4A3 · pith_short_8: HXNA3V7N

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/HXNA3V7NFXZFZ4A3CV4HFTINOU \
  | 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: 3dda0dd7ed2df25cf01b157872cd0d750fd4711fb45ae4fa15a666556e14fa35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8549ddfd4a063c9cb7b038e67b899dff2f515d83ff92ffe8abab20a4f27cd082",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-21T11:49:15Z",
    "title_canon_sha256": "e078a8af06b3c9dfeadb22e31a6c2450123492bbf3bc45030250a17216ba926d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4241",
    "kind": "arxiv",
    "version": 1
  }
}