Pith Number

pith:BR67ASUD

pith:2004:BR67ASUDNDTY7WOYWHBE2GPMDN

not attested not anchored not stored refs pending

Differential Realizations of the Two-Mode Bosonic and Fermionic Hamiltonians: A unified Approach

Hayriye Tutunculer, Ramazan Koc

arxiv:math-ph/0410025 v1 · 2004-10-10 · 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{BR67ASUDNDTY7WOYWHBE2GPMDN}

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	2026-05-18T01:38:33.352144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7df04a8368e78fd9d8b1c24d19ec1b7a59040bd894962067f6852254348e46

Aliases

arxiv: math-ph/0410025 · arxiv_version: math-ph/0410025v1 · doi: 10.48550/arxiv.math-ph/0410025 · pith_short_12: BR67ASUDNDTY · pith_short_16: BR67ASUDNDTY7WOY · pith_short_8: BR67ASUD

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/BR67ASUDNDTY7WOYWHBE2GPMDN \
  | 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: 0c7df04a8368e78fd9d8b1c24d19ec1b7a59040bd894962067f6852254348e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1540d444582bd20c9bcf074838115951f747933814cfc6165d128c1689ba5e04",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-10-10T06:37:24Z",
    "title_canon_sha256": "0bcbe94dacdf12e69307e811fecff0bf42783f224cbd890c9c6f8dd0e5bf5c61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0410025",
    "kind": "arxiv",
    "version": 1
  }
}