Pith Number

pith:YK3F775C

pith:2005:YK3F775C3N6YVCRBEH7QY4NHWJ

not attested not anchored not stored refs pending

Ordering of Energy Levels in Heisenberg Models and Applications

Bruno Nachtergaele, Shannon Starr

arxiv:math-ph/0503056 v1 · 2005-03-23 · 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{YK3F775C3N6YVCRBEH7QY4NHWJ}

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	2026-05-18T01:38:33.223002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b65fffa2db7d8a8a2121ff0c71a7b260fa7ee017c3cfa54ee7739d7b73888c

Aliases

arxiv: math-ph/0503056 · arxiv_version: math-ph/0503056v1 · doi: 10.48550/arxiv.math-ph/0503056 · pith_short_12: YK3F775C3N6Y · pith_short_16: YK3F775C3N6YVCRB · pith_short_8: YK3F775C

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/YK3F775C3N6YVCRBEH7QY4NHWJ \
  | 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: c2b65fffa2db7d8a8a2121ff0c71a7b260fa7ee017c3cfa54ee7739d7b73888c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22faa5fb172aa5380699fecca768afb4719f8d9066ff9a34cc65c0bb07757a7f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-03-23T17:32:33Z",
    "title_canon_sha256": "cbb737f36fae1da5a6a37cb98ce24785d31cb5f28c5cf8b866e980355d6e8f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0503056",
    "kind": "arxiv",
    "version": 1
  }
}