Pith Number

pith:K4N5G3RW

pith:2015:K4N5G3RWPT5QDAA5MVU4NOGX73

not attested not anchored not stored refs pending

Asymptotic Ferromagnetic Ordering of Energy Levels for the Heisenberg Model on Large Boxes

Bruno Nachtergaele, Shannon Starr, Wolfgang Spitzer

arxiv:1509.00907 v1 · 2015-09-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4N5G3RWPT5QDAA5MVU4NOGX73}

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	2026-05-18T01:34:04.814199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571bd36e367cfb01801d6569c6b8d7fefd71a597604e200f712079098b87dd0f

Aliases

arxiv: 1509.00907 · arxiv_version: 1509.00907v1 · doi: 10.48550/arxiv.1509.00907 · pith_short_12: K4N5G3RWPT5Q · pith_short_16: K4N5G3RWPT5QDAA5 · pith_short_8: K4N5G3RW

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/K4N5G3RWPT5QDAA5MVU4NOGX73 \
  | 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: 571bd36e367cfb01801d6569c6b8d7fefd71a597604e200f712079098b87dd0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81cf597e4c651fc56764b0e9f4dc19edfe5dfa2e128d41877c95e65b1d1a56cd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-03T00:49:45Z",
    "title_canon_sha256": "9cea84749c79a11a50558361406558cd28db0bef7226a2597f63d3da03bc1585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00907",
    "kind": "arxiv",
    "version": 1
  }
}