Pith Number

pith:UMGGCZ7Y

pith:2012:UMGGCZ7YJKBJREHG7U67XJTMKM

not attested not anchored not stored refs pending

Optimal transport and von Neumann entropy in an Heisenberg XXZ chain out of equilibrium

Mario Salerno, Vladislav Popkov

arxiv:1212.2095 v1 · 2012-12-10 · 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{UMGGCZ7YJKBJREHG7U67XJTMKM}

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	2026-05-18T01:52:40.563721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30c6167f84a829890e6fd3dfba66c532fb4ee40973dd3ac0a740c0e21f4629d

Aliases

arxiv: 1212.2095 · arxiv_version: 1212.2095v1 · doi: 10.48550/arxiv.1212.2095 · pith_short_12: UMGGCZ7YJKBJ · pith_short_16: UMGGCZ7YJKBJREHG · pith_short_8: UMGGCZ7Y

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/UMGGCZ7YJKBJREHG7U67XJTMKM \
  | 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: a30c6167f84a829890e6fd3dfba66c532fb4ee40973dd3ac0a740c0e21f4629d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23167cdd5a9a4434f7db7123c873b03855ada3be81510c2a1f4ecad22c422c4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-10T15:34:17Z",
    "title_canon_sha256": "304005555729b0a69382842552cf58a6b97fb4bedb87bfe59f294b5b591b6493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2095",
    "kind": "arxiv",
    "version": 1
  }
}