Pith Number

pith:CN7EUZDJ

pith:2018:CN7EUZDJHMDK6IO26GKDM4WS5M

not attested not anchored not stored refs pending

Strong and Weak Optimizations in Classical and Quantum Models of Stochastic Processes

James P. Crutchfield, Samuel Loomis

arxiv:1808.08639 v1 · 2018-08-26 · quant-ph · cond-mat.stat-mech · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN7EUZDJHMDK6IO26GKDM4WS5M}

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.

Cited by

1 paper in Pith

Measurement-Induced Randomness and Structure in Controlled Qubit Processes

Receipt and verification

First computed	2026-07-05T00:08:52.623241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

137e4a64693b06af21daf1943672d2eb39005654a37fd24d7c8743a359c9ac5c

Aliases

arxiv: 1808.08639 · arxiv_version: 1808.08639v1 · doi: 10.48550/arxiv.1808.08639 · pith_short_12: CN7EUZDJHMDK · pith_short_16: CN7EUZDJHMDK6IO2 · pith_short_8: CN7EUZDJ

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/CN7EUZDJHMDK6IO26GKDM4WS5M \
  | 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: 137e4a64693b06af21daf1943672d2eb39005654a37fd24d7c8743a359c9ac5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e2d3b290b256cc4a110682e96c3bf8908d5b056cfb03c60d1cebe5600ec177",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-08-26T23:01:38Z",
    "title_canon_sha256": "53610d803c3659f9c897ba9dce3dc9a65281005fb3c811e8a590f6b404019983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08639",
    "kind": "arxiv",
    "version": 1
  }
}