Pith Number

pith:Y2MZ6NQD

pith:2006:Y2MZ6NQDPGQMGXHGV5LVPJSXZX

not attested not anchored not stored refs pending

Proof of the Variational Principle for a Pair Hamiltonian Boson Model

Joseph V. Pul\'e, Valentin Zagrebnov

arxiv:math-ph/0603061 v1 · 2006-03-24 · 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{Y2MZ6NQDPGQMGXHGV5LVPJSXZX}

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	2026-05-18T01:08:51.704520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6999f360379a0c35ce6af5757a657cdf7551403cd8455d9d68c96ec559ce259

Aliases

arxiv: math-ph/0603061 · arxiv_version: math-ph/0603061v1 · doi: 10.48550/arxiv.math-ph/0603061 · pith_short_12: Y2MZ6NQDPGQM · pith_short_16: Y2MZ6NQDPGQMGXHG · pith_short_8: Y2MZ6NQD

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/Y2MZ6NQDPGQMGXHGV5LVPJSXZX \
  | 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: c6999f360379a0c35ce6af5757a657cdf7551403cd8455d9d68c96ec559ce259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ed40a6b37cc30e727d5b6ad64c872ca49f3c3c8779abe0d528f15189ba1c1a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-03-24T10:01:02Z",
    "title_canon_sha256": "6b4edbf1d13ad05105c9dc6403d9cff8748f91afd13f6cb7e17273282bf13da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0603061",
    "kind": "arxiv",
    "version": 1
  }
}