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Pith Number

pith:YVPOC3MW

pith:2016:YVPOC3MWF7PT55UF6HLR4DHLKN
not attested not anchored not stored refs pending

Affine transformations of the plane and their geometrical properties

Irina Busjatskaja, Yury Kochetkov

arxiv:1603.02938 v1 · 2016-03-09 · math.MG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YVPOC3MWF7PT55UF6HLR4DHLKN}

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 2026-05-18T01:19:19.530088Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c55ee16d962fdf3ef685f1d71e0ceb5355dc1508e4205079cf5fccd468c50d82

Aliases

arxiv: 1603.02938 · arxiv_version: 1603.02938v1 · doi: 10.48550/arxiv.1603.02938 · pith_short_12: YVPOC3MWF7PT · pith_short_16: YVPOC3MWF7PT55UF · pith_short_8: YVPOC3MW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YVPOC3MWF7PT55UF6HLR4DHLKN \
  | 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: c55ee16d962fdf3ef685f1d71e0ceb5355dc1508e4205079cf5fccd468c50d82
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0948b85f5fe7b5d7753bf6a376f4a1663b9cfaa1b70baf1a22533d788c135e71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-03-09T16:14:04Z",
    "title_canon_sha256": "5eb5ee484c0987984f434fe768ecafec5db58c0ff96d65e138f0c3e6295f719f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02938",
    "kind": "arxiv",
    "version": 1
  }
}