Pith Number

pith:F6JOWHK5

pith:2011:F6JOWHK5LIJ2ASBTMSV5EWM5AX

not attested not anchored not stored refs pending

Relaxation to equilibrium of expectation values in macroscopic quantum systems

Takaaki Monnai

arxiv:1107.1018 v1 · 2011-07-06 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6JOWHK5LIJ2ASBTMSV5EWM5AX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:01:24.371989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f92eb1d5d5a13a0483364abd2599d05d5b0315214ef096312a3f6c52b38384a

Aliases

arxiv: 1107.1018 · arxiv_version: 1107.1018v1 · doi: 10.48550/arxiv.1107.1018 · pith_short_12: F6JOWHK5LIJ2 · pith_short_16: F6JOWHK5LIJ2ASBT · pith_short_8: F6JOWHK5

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/F6JOWHK5LIJ2ASBTMSV5EWM5AX \
  | 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: 2f92eb1d5d5a13a0483364abd2599d05d5b0315214ef096312a3f6c52b38384a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5341b8654ba7d414ef1c03479851775e691ce28dbec51fa2a2dc79bc50785332",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-06T03:09:43Z",
    "title_canon_sha256": "b77d2398f9ea237dc82294ae1451db9b68bd806bdfd5e603c21959b6e0c9cef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1018",
    "kind": "arxiv",
    "version": 1
  }
}