Pith Number

pith:6X65VUWW

pith:2015:6X65VUWWTOCPMMAA6QRLZXJZEF

not attested not anchored not stored refs pending

Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions

Kengo Tanaka

arxiv:1507.05362 v2 · 2015-07-20 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6X65VUWWTOCPMMAA6QRLZXJZEF}

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	2026-05-18T01:02:45.747108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5fddad2d69b84f63000f422bcdd392174e9288d14e53efb46e8b188a305f7c7

Aliases

arxiv: 1507.05362 · arxiv_version: 1507.05362v2 · doi: 10.48550/arxiv.1507.05362 · pith_short_12: 6X65VUWWTOCP · pith_short_16: 6X65VUWWTOCPMMAA · pith_short_8: 6X65VUWW

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/6X65VUWWTOCPMMAA6QRLZXJZEF \
  | 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: f5fddad2d69b84f63000f422bcdd392174e9288d14e53efb46e8b188a305f7c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d18441a3272518b4cf621e3081a5eb7187339263bddff8e57e2f121e19ce737a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-07-20T01:50:52Z",
    "title_canon_sha256": "e9f7ac1691584ee63cac671e5ef3585b96ccb4eee4703315befd74f64b218987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05362",
    "kind": "arxiv",
    "version": 2
  }
}