Pith Number

pith:3PMHFMZD

pith:2013:3PMHFMZDM7ZORELQZGVFUDXH3A

not attested not anchored not stored refs pending

Fisher-Hartwig expansion for the transverse correlation function in the XX spin-1/2 chain

Alexander G. Abanov, Dmitri A. Ivanov

arxiv:1309.4867 v1 · 2013-09-19 · cond-mat.str-el · cond-mat.stat-mech · 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{3PMHFMZDM7ZORELQZGVFUDXH3A}

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	2026-05-18T03:05:18.068506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd872b32367f2e89170c9aa5a0ee7d81b0292ca932867b0ff74b49f19650901

Aliases

arxiv: 1309.4867 · arxiv_version: 1309.4867v1 · doi: 10.48550/arxiv.1309.4867 · pith_short_12: 3PMHFMZDM7ZO · pith_short_16: 3PMHFMZDM7ZORELQ · pith_short_8: 3PMHFMZD

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/3PMHFMZDM7ZORELQZGVFUDXH3A \
  | 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: dbd872b32367f2e89170c9aa5a0ee7d81b0292ca932867b0ff74b49f19650901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94afe9e25e1bbe0679b1d73e48796588a63a9551e262e35cf81b69b45c8b0ae1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2013-09-19T06:22:17Z",
    "title_canon_sha256": "d8f977a9766d9989b6ef2311cdfd8a987653a6a340a794b23aa88274cc92d0b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4867",
    "kind": "arxiv",
    "version": 1
  }
}