pith. sign in
Pith Number

pith:P4XY5ZYE

pith:2014:P4XY5ZYEWYF2NVBWGXGCBM4F52
not attested not anchored not stored refs pending

Formalization of Complex Vectors in Higher-Order Logic

Osman Hasan, Sanaz Khan-Afshar, Sofiene Tahar, Vincent Aravantinos

arxiv:1405.4034 v1 · 2014-05-15 · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P4XY5ZYEWYF2NVBWGXGCBM4F52}

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 2026-05-18T02:51:43.240827Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7f2f8ee704b60ba6d43635cc20b385ee8567b82b4f70a3947e8ae975174e8439

Aliases

arxiv: 1405.4034 · arxiv_version: 1405.4034v1 · doi: 10.48550/arxiv.1405.4034 · pith_short_12: P4XY5ZYEWYF2 · pith_short_16: P4XY5ZYEWYF2NVBW · pith_short_8: P4XY5ZYE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P4XY5ZYEWYF2NVBWGXGCBM4F52 \
  | 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: 7f2f8ee704b60ba6d43635cc20b385ee8567b82b4f70a3947e8ae975174e8439
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "45931e59c5baa8033b5d57686893fb10f48a0ddbf2647c6483abb60ee3a912c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-05-15T23:21:34Z",
    "title_canon_sha256": "fa7dc9025070ab2f950d874dcaaf51aa910f9f1c0aca28c1d11f79684ab26cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4034",
    "kind": "arxiv",
    "version": 1
  }
}