Pith Number

pith:6K4WLIRT

pith:1999:6K4WLIRTPHWQKRJRYGXWA3QKSQ

not attested not anchored not stored refs pending

Mean-Field Theory of a Quantum Heisenberg Spin Glass

Antoine Georges, Olivier Parcollet, Subir Sachdev

arxiv:cond-mat/9909239 v1 · 1999-09-16 · cond-mat.dis-nn · 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{6K4WLIRTPHWQKRJRYGXWA3QKSQ}

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	2026-07-04T16:13:16.926836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b965a23379ed054531c1af606e0a942807767feb78224d96019461aaea7626

Aliases

arxiv: cond-mat/9909239 · arxiv_version: cond-mat/9909239v1 · doi: 10.48550/arxiv.cond-mat/9909239 · pith_short_12: 6K4WLIRTPHWQ · pith_short_16: 6K4WLIRTPHWQKRJR · pith_short_8: 6K4WLIRT

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/6K4WLIRTPHWQKRJRYGXWA3QKSQ \
  | 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: f2b965a23379ed054531c1af606e0a942807767feb78224d96019461aaea7626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b50e868449b5fffd1b93edc41f732f5644ecbcd681dc9f035f47fbf64650266",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "1999-09-16T02:20:57Z",
    "title_canon_sha256": "c695f34554bd892cd5a3259e11b03aa0d6d27a580ce4116fffae946d47f1bece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9909239",
    "kind": "arxiv",
    "version": 1
  }
}