Pith Number

pith:7JPPLPTR

pith:2012:7JPPLPTRANS2SU2UINEXQZW7SZ

not attested not anchored not stored refs pending

Construct order parameter from the spectra of mutual information

Hai-Qing Lin, Shi-Jian Gu, Wing Chi Yu

arxiv:1209.0062 v3 · 2012-09-01 · quant-ph · cond-mat.stat-mech · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JPPLPTRANS2SU2UINEXQZW7SZ}

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	2026-05-18T03:45:22.632691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5ef5be710365a9535443497866df967cbe4b466f085ab54066f24545b5aa53

Aliases

arxiv: 1209.0062 · arxiv_version: 1209.0062v3 · doi: 10.48550/arxiv.1209.0062 · pith_short_12: 7JPPLPTRANS2 · pith_short_16: 7JPPLPTRANS2SU2U · pith_short_8: 7JPPLPTR

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/7JPPLPTRANS2SU2UINEXQZW7SZ \
  | 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: fa5ef5be710365a9535443497866df967cbe4b466f085ab54066f24545b5aa53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a56bacb7d2362f52268a71bae23b7549ca60c01e59c6b9d7fd4a5095f9b65f0a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-01T07:10:53Z",
    "title_canon_sha256": "604ab287b0f9920a3330087a1d00a90b77966523ce66636bf6630457812d5727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0062",
    "kind": "arxiv",
    "version": 3
  }
}