Pith Number

pith:M43UKUHW

pith:2015:M43UKUHWQJBLXXLLLDC524K2OC

not attested not anchored not stored refs pending

Uniqueness, Spatial Mixing, and Approximation for Ferromagnetic 2-Spin Systems

Heng Guo, Pinyan Lu

arxiv:1511.00493 v3 · 2015-11-02 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M43UKUHWQJBLXXLLLDC524K2OC}

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	2026-05-18T00:11:28.368756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67374550f68242bbdd6b58c5dd715a7088881103a0a7121d2228f028971b4ce0

Aliases

arxiv: 1511.00493 · arxiv_version: 1511.00493v3 · doi: 10.48550/arxiv.1511.00493 · pith_short_12: M43UKUHWQJBL · pith_short_16: M43UKUHWQJBLXXLL · pith_short_8: M43UKUHW

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/M43UKUHWQJBLXXLLLDC524K2OC \
  | 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: 67374550f68242bbdd6b58c5dd715a7088881103a0a7121d2228f028971b4ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b934aa97c93c0b66c4f02f71883e99ccdc5ea93414aff1da87aa4302224b44",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-11-02T13:34:52Z",
    "title_canon_sha256": "208e9b0e3d1c3b8f49b470b06c7ac49f3a498fd936c2749ef592a82cb71bb058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00493",
    "kind": "arxiv",
    "version": 3
  }
}