Pith Number

pith:KCQIYTDP

pith:2018:KCQIYTDPW7J2WU3HYTZ6OYYTPW

not attested not anchored not stored refs pending

On the number of cusps of deformations of complex polynomials

Kazumasa Inaba

arxiv:1811.01189 v1 · 2018-11-03 · math.AG · math.CV · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCQIYTDPW7J2WU3HYTZ6OYYTPW}

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	2026-05-18T00:01:35.096289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a08c4c6fb7d3ab5367c4f3e763137d8ef53354bc79190e781bb825bb7fc19e

Aliases

arxiv: 1811.01189 · arxiv_version: 1811.01189v1 · doi: 10.48550/arxiv.1811.01189 · pith_short_12: KCQIYTDPW7J2 · pith_short_16: KCQIYTDPW7J2WU3H · pith_short_8: KCQIYTDP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KCQIYTDPW7J2WU3HYTZ6OYYTPW \
  | 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: 50a08c4c6fb7d3ab5367c4f3e763137d8ef53354bc79190e781bb825bb7fc19e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad25b11e1ef4c87e7402fc0b01c745145eb7d64353bc8553bcd5d4e3a546140",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-03T10:31:21Z",
    "title_canon_sha256": "464a77a97c1a122fd75bfc750588bea51e06aa9f31f7b906b6396026f605f182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01189",
    "kind": "arxiv",
    "version": 1
  }
}