Pith Number

pith:KBE7XXHK

pith:2006:KBE7XXHKOE6DUZOTXBIFWSDWHP

not attested not anchored not stored refs pending

On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schroedinger equations

Sasa Kresic-Juric

arxiv:math-ph/0604019 v1 · 2006-04-09 · math-ph · math.AP · 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{KBE7XXHKOE6DUZOTXBIFWSDWHP}

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	2026-05-18T03:56:34.315782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5049fbdcea713c3a65d3b8505b48763bfd878a847c6d393e94bc9fe5772ada06

Aliases

arxiv: math-ph/0604019 · arxiv_version: math-ph/0604019v1 · doi: 10.48550/arxiv.math-ph/0604019 · pith_short_12: KBE7XXHKOE6D · pith_short_16: KBE7XXHKOE6DUZOT · pith_short_8: KBE7XXHK

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/KBE7XXHKOE6DUZOTXBIFWSDWHP \
  | 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: 5049fbdcea713c3a65d3b8505b48763bfd878a847c6d393e94bc9fe5772ada06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c458c4a51b456b93f19be082ced94f72cba16eab128fbaa4fc9f6a61fd227d",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-04-09T14:58:05Z",
    "title_canon_sha256": "f277266e0610e3bc6290b396f620b903b72a413c3f0ed5c32d3b21c5a22ffb65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0604019",
    "kind": "arxiv",
    "version": 1
  }
}