Pith Number

pith:TMFZPW2F

pith:2010:TMFZPW2F4SZIQ27VGBJJ5UPOMJ

not attested not anchored not stored refs pending

Moments of general Heisenberg Hamiltonians up to sixth order

Andre Lohmann, Heinz-Juergen Schmidt, Johannes Richter

arxiv:1012.4166 v3 · 2010-12-19 · 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{TMFZPW2F4SZIQ27VGBJJ5UPOMJ}

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	2026-05-18T02:23:06.872374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0b97db45e4b2886bf530529ed1ee62748ae70243bf33bc072d41e8846e9f76

Aliases

arxiv: 1012.4166 · arxiv_version: 1012.4166v3 · doi: 10.48550/arxiv.1012.4166 · pith_short_12: TMFZPW2F4SZI · pith_short_16: TMFZPW2F4SZIQ27V · pith_short_8: TMFZPW2F

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/TMFZPW2F4SZIQ27VGBJJ5UPOMJ \
  | 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: 9b0b97db45e4b2886bf530529ed1ee62748ae70243bf33bc072d41e8846e9f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2815c1feb96752c423e309ebf3a2f3036cb0829e19247d354d9fd1eff40d9a00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-19T13:03:05Z",
    "title_canon_sha256": "fac4522c33669f85ef26e07d39475143cedba5f9a2942b8b3429c299b077ee79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4166",
    "kind": "arxiv",
    "version": 3
  }
}