Pith Number

pith:KP4HEL7R

pith:2011:KP4HEL7RAZL5HC2RJLDNN27VX5

not attested not anchored not stored refs pending

Ising model with spins S=1/2 and 1 on directed and undirected Erd\"os-R\'enyi random graphs

F.W.S. Lima, M.A.Sumour

arxiv:1109.2312 v1 · 2011-09-11 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KP4HEL7RAZL5HC2RJLDNN27VX5}

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	2026-05-18T02:00:34.745862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f8722ff10657d38b514ac6d6ebf5bf606c15f67ad34ebc14a379391fa72138

Aliases

arxiv: 1109.2312 · arxiv_version: 1109.2312v1 · doi: 10.48550/arxiv.1109.2312 · pith_short_12: KP4HEL7RAZL5 · pith_short_16: KP4HEL7RAZL5HC2R · pith_short_8: KP4HEL7R

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/KP4HEL7RAZL5HC2RJLDNN27VX5 \
  | 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: 53f8722ff10657d38b514ac6d6ebf5bf606c15f67ad34ebc14a379391fa72138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "288e37d4eaa5e177fee8a0d5ee66b5ccc89ea604eae5fdb27535a5b60c500b90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2011-09-11T13:20:41Z",
    "title_canon_sha256": "2bd2fc481579f5f5b8b0a8efc0616ea58fa732d88f716c9f132068a66055f274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2312",
    "kind": "arxiv",
    "version": 1
  }
}