Pith. sign in
Pith Number

pith:7TWTNAJI

pith:2006:7TWTNAJIHWP5F2CZEATN2GHNGX
not attested not anchored not stored refs pending

Graphical Condensation Generalizations Involving Pfaffians and Determinants

Eric Kuo

arxiv:math/0605154 v1 · 2006-05-05 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7TWTNAJIHWP5F2CZEATN2GHNGX}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-04T14:55:02.527736Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fced3681283d9fd2e8592026dd18ed35edbb15927bc294dca2bd7b1074350f75

Aliases

arxiv: math/0605154 · arxiv_version: math/0605154v1 · doi: 10.48550/arxiv.math/0605154 · pith_short_12: 7TWTNAJIHWP5 · pith_short_16: 7TWTNAJIHWP5F2CZ · pith_short_8: 7TWTNAJI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7TWTNAJIHWP5F2CZEATN2GHNGX \
  | 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: fced3681283d9fd2e8592026dd18ed35edbb15927bc294dca2bd7b1074350f75
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aa313f204898ad7378dc74e54cf0c1a6e32560f2f0a7dadc57abc0f250257e91",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-05-05T19:12:02Z",
    "title_canon_sha256": "b6692556c49230232ba4b172b47cdbe2f20ebf49b42519220ac6e877b965532a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605154",
    "kind": "arxiv",
    "version": 1
  }
}