Pith Number

pith:IXG6TA5Z

pith:2010:IXG6TA5Z75W7LEYFLNXV3R5IF7

not attested not anchored not stored refs pending

Permutation operators, entanglement entropy, and the XXZ spin chain in the limit \Delta -> -1

Benjamin Doyon, Olalla A. Castro-Alvaredo

arxiv:1011.4706 v3 · 2010-11-21 · hep-th · math-ph · 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{IXG6TA5Z75W7LEYFLNXV3R5IF7}

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.

Cited by

1 paper in Pith

Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench

Receipt and verification

First computed	2026-05-18T04:28:29.235646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45cde983b9ff6df593055b6f5dc7a82fd05069f505b56d5355781594cbcaa5b5

Aliases

arxiv: 1011.4706 · arxiv_version: 1011.4706v3 · doi: 10.48550/arxiv.1011.4706 · pith_short_12: IXG6TA5Z75W7 · pith_short_16: IXG6TA5Z75W7LEYF · pith_short_8: IXG6TA5Z

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/IXG6TA5Z75W7LEYFLNXV3R5IF7 \
  | 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: 45cde983b9ff6df593055b6f5dc7a82fd05069f505b56d5355781594cbcaa5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41c282d294b5f1147dd254720cd4d479d6c9ca5a0ae416b1865c844fb428c901",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-21T22:32:33Z",
    "title_canon_sha256": "a75d5a1606e0ff9d0a25467a12eae9e3241ae1763d70436feec850ae1e62ae6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4706",
    "kind": "arxiv",
    "version": 3
  }
}