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Pith Number

pith:ARRL45BS

pith:2019:ARRL45BSM4NPV2ZI62EE3WQ764
not attested not anchored not stored refs pending

Affine equivalences, isometries and symmetries of ruled rational surfaces

Emily Quintero, Juan Gerardo Alc\'azar

arxiv:1905.12936 v1 · 2019-05-30 · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ARRL45BSM4NPV2ZI62EE3WQ764}

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 2026-05-17T23:44:39.305669Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0462be7432671afaeb28f6884dda1ff71686363e267bdcf4dae5f02602d2a422

Aliases

arxiv: 1905.12936 · arxiv_version: 1905.12936v1 · doi: 10.48550/arxiv.1905.12936 · pith_short_12: ARRL45BSM4NP · pith_short_16: ARRL45BSM4NPV2ZI · pith_short_8: ARRL45BS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ARRL45BSM4NPV2ZI62EE3WQ764 \
  | 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: 0462be7432671afaeb28f6884dda1ff71686363e267bdcf4dae5f02602d2a422
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8a522e135ee2754cfd530ae6d5ffd5a35206b080d787247a2e9c53a2e1d7f7b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-05-30T09:51:52Z",
    "title_canon_sha256": "0b2fc4e0c5ea68bba4619a19dc1b72543af4d701d2fdbb2d207f2a36a41bf8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12936",
    "kind": "arxiv",
    "version": 1
  }
}