Pith Number

pith:VCUM5XEF

pith:2004:VCUM5XEFEMTDRHGWDWM4ZM2T3V

not attested not anchored not stored refs pending

Global entanglement and quantum criticality in spin chains

Dyutiman Das, Paul M. Goldbart (University of Illinois at Urbana-Champaign), Smitha Vishveshwara, Swagatam Mukhopadyay, Tzu-Chieh Wei

arxiv:quant-ph/0405162 v1 · 2004-05-26 · quant-ph · cond-mat.other

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCUM5XEFEMTDRHGWDWM4ZM2T3V}

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

Explicit Pfaffian Formula for Amplitudes of Fermionic Gaussian Pure States in Arbitrary Pauli Bases

Receipt and verification

First computed	2026-07-04T16:50:18.508364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a8cedc852326389cd61d99ccb353dd5c4d0fa729a881f5d6b97daba88fc12b

Aliases

arxiv: quant-ph/0405162 · arxiv_version: quant-ph/0405162v1 · doi: 10.48550/arxiv.quant-ph/0405162 · pith_short_12: VCUM5XEFEMTD · pith_short_16: VCUM5XEFEMTDRHGW · pith_short_8: VCUM5XEF

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/VCUM5XEFEMTDRHGWDWM4ZM2T3V \
  | 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: a8a8cedc852326389cd61d99ccb353dd5c4d0fa729a881f5d6b97daba88fc12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "145381a6d5433003dc244520a05a5b0800a604f7eded6a4737bc00082f6b644d",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-05-26T23:33:46Z",
    "title_canon_sha256": "d2bf7a64e4b744d8cc59ae817b03e55206d84b8633a3a5eb0cf268b6532ab1a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0405162",
    "kind": "arxiv",
    "version": 1
  }
}