Pith Number

pith:QXZ5JR7F

pith:2011:QXZ5JR7FFYIDMFAJB73W2TXCCW

not attested not anchored not stored refs pending

Smearing Formulas for Density Matrices

Axel Pelster, Hagen Kleinert, Michael Bachmann

arxiv:1107.0289 v1 · 2011-07-01 · cond-mat.stat-mech · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXZ5JR7FFYIDMFAJB73W2TXCCW}

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	2026-05-18T04:18:55.125300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f3d4c7e52e103614090ff76d4ee21582133df7cf2219cfe31bfbf6b6630970

Aliases

arxiv: 1107.0289 · arxiv_version: 1107.0289v1 · doi: 10.48550/arxiv.1107.0289 · pith_short_12: QXZ5JR7FFYID · pith_short_16: QXZ5JR7FFYIDMFAJ · pith_short_8: QXZ5JR7F

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/QXZ5JR7FFYIDMFAJB73W2TXCCW \
  | 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: 85f3d4c7e52e103614090ff76d4ee21582133df7cf2219cfe31bfbf6b6630970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edbcb19bc16a83ed9d9c8d26a079f1a7cab1dec2e6eb368e708edb7b416ddceb",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-01T17:57:36Z",
    "title_canon_sha256": "90c277c4b8a55cad69092f3dcefb3c2b3cee1de70da291fe8d823d757014a1f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0289",
    "kind": "arxiv",
    "version": 1
  }
}