Pith Number

pith:YE7YZC35

pith:2010:YE7YZC35L5675V7WJY6C6OLDRS

not attested not anchored not stored refs pending

The $\chi^2$-divergence and Mixing times of quantum Markov processes

F. Verstraete, K. Temme, M. B. Ruskai, M. J. Kastoryano, M. M. Wolf

arxiv:1005.2358 v3 · 2010-05-13 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YE7YZC35L5675V7WJY6C6OLDRS}

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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.

Cited by

1 paper in Pith

Microscopic Theory of Light-Induced Coherent Phonons Mediated by Quantum Geometry

Receipt and verification

First computed	2026-07-05T08:04:51.689213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c13f8c8b7d5f7dfed7f64e3c2f39638cba930b3038728681dc719d7868f09450

Aliases

arxiv: 1005.2358 · arxiv_version: 1005.2358v3 · doi: 10.48550/arxiv.1005.2358 · pith_short_12: YE7YZC35L567 · pith_short_16: YE7YZC35L5675V7W · pith_short_8: YE7YZC35

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/YE7YZC35L5675V7WJY6C6OLDRS \
  | 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: c13f8c8b7d5f7dfed7f64e3c2f39638cba930b3038728681dc719d7868f09450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf5a49ae6cbee5c257ee242d0489c0950ef6f300e159c5fa4b281b405b206c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-05-13T15:56:12Z",
    "title_canon_sha256": "e3f7d3135a71e8ed9fa3720ecde87feeb04d2866ad6dd71c71ecb3e81f01b8f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2358",
    "kind": "arxiv",
    "version": 3
  }
}