Pith Number

pith:GIUYYQPJ

pith:2010:GIUYYQPJW5UXHQOSZVOXR2T33P

not attested not anchored not stored refs pending

A generalization of Cartan's theorem on isoparametric cubics

Vladimir G. Tkachev

arxiv:1001.2387 v2 · 2010-01-14 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIUYYQPJW5UXHQOSZVOXR2T33P}

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	2026-05-17T23:56:56.572616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32298c41e9b76973c1d2cd5d78ea7bdbd39c75b844e086b67a1be643b7d82b87

Aliases

arxiv: 1001.2387 · arxiv_version: 1001.2387v2 · doi: 10.48550/arxiv.1001.2387 · pith_short_12: GIUYYQPJW5UX · pith_short_16: GIUYYQPJW5UXHQOS · pith_short_8: GIUYYQPJ

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/GIUYYQPJW5UXHQOSZVOXR2T33P \
  | 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: 32298c41e9b76973c1d2cd5d78ea7bdbd39c75b844e086b67a1be643b7d82b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9340aaf4b3e1ce5f1e0f87c43411dca64194eb3eed59e49dbc6b1dabc0fc2e1c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-01-14T08:39:21Z",
    "title_canon_sha256": "306665a7906cd0c91bc893cd3b1d156aa7934d9e199fa0d7d33bcefbbf6982e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2387",
    "kind": "arxiv",
    "version": 2
  }
}