Pith Number

pith:EEHWBTEW

pith:2011:EEHWBTEWTYVMNUCTJ3PFP5HBK7

not attested not anchored not stored refs pending

Lieb-Robinson Bounds and Existence of the Thermodynamic Limit for a Class of Irreversible Quantum Dynamics

Anna Vershynina, Bruno Nachtergaele, Valentin A. Zagrebnov

arxiv:1103.1122 v2 · 2011-03-06 · math-ph · math.MP · 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{EEHWBTEWTYVMNUCTJ3PFP5HBK7}

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	2026-05-18T04:00:26.875592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

210f60cc969e2ac6d0534ede57f4e157c76a90fb825f834a4fab6ace3ea30d95

Aliases

arxiv: 1103.1122 · arxiv_version: 1103.1122v2 · doi: 10.48550/arxiv.1103.1122 · pith_short_12: EEHWBTEWTYVM · pith_short_16: EEHWBTEWTYVMNUCT · pith_short_8: EEHWBTEW

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/EEHWBTEWTYVMNUCTJ3PFP5HBK7 \
  | 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: 210f60cc969e2ac6d0534ede57f4e157c76a90fb825f834a4fab6ace3ea30d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b56abc7777516d70f4429ffa932ce724fbae9edac63aa7143395fbcda84f752a",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-06T12:36:12Z",
    "title_canon_sha256": "14b3bbca447dc6ef81eb1f856f3ad7a7abf634fa733c20c0ceafaf2ed8c34cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1122",
    "kind": "arxiv",
    "version": 2
  }
}