Pith Number

pith:WXTQQXDA

pith:2026:WXTQQXDAN5DF2VBHMF4LNMFRMF

not attested not anchored not stored refs pending

Operational meaning of Markov gap in tripartite entanglement of quantum dynamics

Riqiang Zhang, Yu-Xiang Zhang, Zongsheng Zhou

arxiv:2607.08615 v1 · 2026-07-09 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXTQQXDAN5DF2VBHMF4LNMFRMF}

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	2026-07-10T01:19:55.528217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e7085c606f465d54276178b6b0b1616b21a3669790a51a37781cd979e658c8

Aliases

arxiv: 2607.08615 · arxiv_version: 2607.08615v1 · doi: 10.48550/arxiv.2607.08615 · pith_short_12: WXTQQXDAN5DF · pith_short_16: WXTQQXDAN5DF2VBH · pith_short_8: WXTQQXDA

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/WXTQQXDAN5DF2VBHMF4LNMFRMF \
  | 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: b5e7085c606f465d54276178b6b0b1616b21a3669790a51a37781cd979e658c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e62810bfbebe19fc69f32aa5146996bf84feb71e86b5147167f068336a5cb1f5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-09T15:47:51Z",
    "title_canon_sha256": "dbd4c11cbf68c2a3422b07bd5cb2e35bf434dfa75da0f9710dbd69ea36a5648f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08615",
    "kind": "arxiv",
    "version": 1
  }
}