Pith Number

pith:RBUZD4XN

pith:2011:RBUZD4XN3F3QX34YTSEWV7A2NW

not attested not anchored not stored refs pending

Quantum fluctuations of one-dimensional free fermions and Fisher-Hartwig formula for Toeplitz determinants

Alexander G. Abanov, Dmitri A. Ivanov, Yachao Qian

arxiv:1108.1355 v1 · 2011-08-05 · cond-mat.str-el · cond-mat.stat-mech · 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{RBUZD4XN3F3QX34YTSEWV7A2NW}

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

Stabilizer-Shannon Renyi Equivalence: Exact Results for Quantum Critical Chains

Receipt and verification

First computed	2026-05-18T04:06:09.422264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

886991f2edd9770bef989c896afc1a6d94dda4b4a12e374f06f1fbd15bbef987

Aliases

arxiv: 1108.1355 · arxiv_version: 1108.1355v1 · doi: 10.48550/arxiv.1108.1355 · pith_short_12: RBUZD4XN3F3Q · pith_short_16: RBUZD4XN3F3QX34Y · pith_short_8: RBUZD4XN

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/RBUZD4XN3F3QX34YTSEWV7A2NW \
  | 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: 886991f2edd9770bef989c896afc1a6d94dda4b4a12e374f06f1fbd15bbef987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5932212aaa3b9545559992aa3433add911b9f5726d5b4886f27dc098be4964d3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-08-05T15:42:40Z",
    "title_canon_sha256": "90f81cc8b71afcfbe278d5b9a8151db6ca59199c0a863fc0ec5f6d293af7cdce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1355",
    "kind": "arxiv",
    "version": 1
  }
}