Pith Number

pith:GDXVZHPU

pith:2012:GDXVZHPUFWWAPT3AYQQDPGK6FE

not attested not anchored not stored refs pending

Non-Markovianity, Loschmidt echo and criticality: a unified picture

Francesco Plastina, John Goold, Pinja Haikka, Sabrina Maniscalco, Suzanne McEndoo

arxiv:1202.2997 v2 · 2012-02-14 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDXVZHPUFWWAPT3AYQQDPGK6FE}

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	2026-05-18T03:53:43.612639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ef5c9df42dac07cf60c42037995e2916a968f33e132d4a9218a4b2fc085ee4

Aliases

arxiv: 1202.2997 · arxiv_version: 1202.2997v2 · doi: 10.48550/arxiv.1202.2997 · pith_short_12: GDXVZHPUFWWA · pith_short_16: GDXVZHPUFWWAPT3A · pith_short_8: GDXVZHPU

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/GDXVZHPUFWWAPT3AYQQDPGK6FE \
  | 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: 30ef5c9df42dac07cf60c42037995e2916a968f33e132d4a9218a4b2fc085ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a380539f1e42e0b93a16be1dba508e6863981a51b45caac803d520f6b114fcee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-14T11:05:39Z",
    "title_canon_sha256": "c81d2915c779f3b8dbade8eab823bc156985c8a084cd58222b983027769c509a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2997",
    "kind": "arxiv",
    "version": 2
  }
}