Pith Number

pith:ZERKA42V

pith:2010:ZERKA42VEBLIHLJFZX4LUYILZS

not attested not anchored not stored refs pending

'Return to equilibrium' for weakly coupled quantum systems: a simple polymer expansion

A. Kupiainen, W. De Roeck

arxiv:1005.1080 v3 · 2010-05-06 · math-ph · cond-mat.stat-mech · 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{ZERKA42VEBLIHLJFZX4LUYILZS}

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	2026-05-18T02:07:41.942716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c922a07355205683ad25cdf8ba610bccbb320d931fd3fd5d0c069def3a9582f0

Aliases

arxiv: 1005.1080 · arxiv_version: 1005.1080v3 · doi: 10.48550/arxiv.1005.1080 · pith_short_12: ZERKA42VEBLI · pith_short_16: ZERKA42VEBLIHLJF · pith_short_8: ZERKA42V

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/ZERKA42VEBLIHLJFZX4LUYILZS \
  | 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: c922a07355205683ad25cdf8ba610bccbb320d931fd3fd5d0c069def3a9582f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1443d908e07cc7e5b09588c59bc1adb758b8c6260e9a57eb3ae1371b8b89ee3a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-06T20:43:15Z",
    "title_canon_sha256": "d300e2adbd4b6d9c29f3d333e1b94b8d10af06550d9da347a716ecaf8e168bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1080",
    "kind": "arxiv",
    "version": 3
  }
}