Pith Number

pith:WDSQD7EI

pith:2015:WDSQD7EIW7SSXO6EDYEGJS6SVY

not attested not anchored not stored refs pending

Exact formulas for the form factors of local operators in the Lieb-Liniger model

Lorenzo Piroli, Pasquale Calabrese

arxiv:1506.06539 v2 · 2015-06-22 · 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{WDSQD7EIW7SSXO6EDYEGJS6SVY}

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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	2026-05-18T01:29:38.139658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e501fc88b7e52bbbc41e0864cbd2ae2f38b6d16e17757296042d2d62da0dcd

Aliases

arxiv: 1506.06539 · arxiv_version: 1506.06539v2 · doi: 10.48550/arxiv.1506.06539 · pith_short_12: WDSQD7EIW7SS · pith_short_16: WDSQD7EIW7SSXO6E · pith_short_8: WDSQD7EI

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/WDSQD7EIW7SSXO6EDYEGJS6SVY \
  | 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: b0e501fc88b7e52bbbc41e0864cbd2ae2f38b6d16e17757296042d2d62da0dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4dfc77f2e9a69f6eb6d2b526fe22d22e367aba4eba8355fae72a6209bb8aa78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-06-22T10:22:48Z",
    "title_canon_sha256": "197b8012749df76d65789c496df54caef9d00ab45d262f47de554d259b2c50d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06539",
    "kind": "arxiv",
    "version": 2
  }
}