Pith Number

pith:FQIEQZJZ

pith:2016:FQIEQZJZQN7ORVR7DKDF73N45C

not attested not anchored not stored refs pending

Ergodicity and Mixing in Quantum Dynamics

Biao Wu, Dongliang Zhang, H.T. Quan

arxiv:1601.00512 v3 · 2016-01-04 · 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{FQIEQZJZQN7ORVR7DKDF73N45C}

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	2026-05-18T01:05:44.197284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c10486539837ee8d63f1a865fedbce89fc15911301b16f7051016778f44b558

Aliases

arxiv: 1601.00512 · arxiv_version: 1601.00512v3 · doi: 10.48550/arxiv.1601.00512 · pith_short_12: FQIEQZJZQN7O · pith_short_16: FQIEQZJZQN7ORVR7 · pith_short_8: FQIEQZJZ

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/FQIEQZJZQN7ORVR7DKDF73N45C \
  | 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: 2c10486539837ee8d63f1a865fedbce89fc15911301b16f7051016778f44b558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ed428f52c14229eaaae35ac988a5c43b57fc1651263da32f1b375beded863c",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-01-04T14:15:44Z",
    "title_canon_sha256": "2b38c50c309fe32a0ef562a4f0f231ed769098915df8dc02ff56fbd7f34cca61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00512",
    "kind": "arxiv",
    "version": 3
  }
}