Pith Number

pith:BUUNY4XW

pith:2010:BUUNY4XWTNFJ4X7D2TZ2CYXHY4

not attested not anchored not stored refs pending

Critical Excitation Spectrum of Quantum Chain With A Local 3-Spin Coupling

John F. McCabe, Tomasz Wydro

arxiv:1007.2632 v1 · 2010-07-15 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUUNY4XWTNFJ4X7D2TZ2CYXHY4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:23:37.543926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d28dc72f69b4a9e5fe3d4f3a162e7c7122bf9675f81952ca75d5fb4e112f448

Aliases

arxiv: 1007.2632 · arxiv_version: 1007.2632v1 · doi: 10.48550/arxiv.1007.2632 · pith_short_12: BUUNY4XWTNFJ · pith_short_16: BUUNY4XWTNFJ4X7D · pith_short_8: BUUNY4XW

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/BUUNY4XWTNFJ4X7D2TZ2CYXHY4 \
  | 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: 0d28dc72f69b4a9e5fe3d4f3a162e7c7122bf9675f81952ca75d5fb4e112f448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d41e54672a09e0dfa91ac61465aeeb4f6923b95b9653324d596101243ed63dad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-07-15T18:58:36Z",
    "title_canon_sha256": "fffef04eaacca7740039b7a21f91c1a2f7e4466325c244abe80e0e1504132119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2632",
    "kind": "arxiv",
    "version": 1
  }
}