pith. sign in
Pith Number

pith:UWOCDVVY

pith:2016:UWOCDVVYMJ6LNPVEL63Y7YJJ6K
not attested not anchored not stored refs pending

A-Discriminants for Complex Exponents, and Counting Real Isotopy Types

J. Maurice Rojas, Korben Rusek

arxiv:1612.03458 v2 · 2016-12-11 · math.AG · cs.SC · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UWOCDVVYMJ6LNPVEL63Y7YJJ6K}

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 2026-05-18T00:31:51.660966Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a59c21d6b8627cb6bea45fb78fe129f2985ab846ffc23f98e6d82f42b7770518

Aliases

arxiv: 1612.03458 · arxiv_version: 1612.03458v2 · doi: 10.48550/arxiv.1612.03458 · pith_short_12: UWOCDVVYMJ6L · pith_short_16: UWOCDVVYMJ6LNPVE · pith_short_8: UWOCDVVY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UWOCDVVYMJ6LNPVEL63Y7YJJ6K \
  | 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: a59c21d6b8627cb6bea45fb78fe129f2985ab846ffc23f98e6d82f42b7770518
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c15aa2fdc9ec71b92a9623ffed2b5e21929837177b346689ee6f3468fd55f473",
    "cross_cats_sorted": [
      "cs.SC",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-11T19:22:40Z",
    "title_canon_sha256": "dbf6287151812bb5bea4c459b0c12b15761433fab0cfe3a57dd009c1e4f6001c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03458",
    "kind": "arxiv",
    "version": 2
  }
}