Pith Number

pith:U46JWGRC

pith:2010:U46JWGRCOPVSOTF2OXTZOH3VGN

not attested not anchored not stored refs pending

Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1J_2J_3$ model with Heisenberg interactions

J. Ignacio Cirac, Philipp Hauke, Roman Schmied, Tommaso Roscilde, Valentin Murg

arxiv:1012.4491 v1 · 2010-12-20 · cond-mat.str-el · cond-mat.quant-gas · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U46JWGRCOPVSOTF2OXTZOH3VGN}

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	2026-05-18T04:16:12.957328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73c9b1a2273eb274cba75e7971f75335f6d5a2384441ed44f8b64af9d39b068

Aliases

arxiv: 1012.4491 · arxiv_version: 1012.4491v1 · doi: 10.48550/arxiv.1012.4491 · pith_short_12: U46JWGRCOPVS · pith_short_16: U46JWGRCOPVSOTF2 · pith_short_8: U46JWGRC

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/U46JWGRCOPVSOTF2OXTZOH3VGN \
  | 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: a73c9b1a2273eb274cba75e7971f75335f6d5a2384441ed44f8b64af9d39b068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c50dd6a8ffc50eac51c63073e225aeda43d1cfa9c2a6221bdb256223dcd2cd",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-12-20T22:14:32Z",
    "title_canon_sha256": "65a015a66bc48338926598d1b7c0ffb8716af9e2eb810feac3e8e391abcbc87b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4491",
    "kind": "arxiv",
    "version": 1
  }
}