Pith Number

pith:CLVIZ6FB

pith:2016:CLVIZ6FBCPCIUDBMJP2SRPGCAD

not attested not anchored not stored refs pending

Contribution of jumping numbers by exceptional divisors, with an appendix by Karen E. Smith and Kevin Tucker

Hans Baumers, Willem Veys

arxiv:1607.08815 v2 · 2016-07-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLVIZ6FBCPCIUDBMJP2SRPGCAD}

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	2026-05-18T00:31:22.529386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ea8cf8a113c48a0c2c4bf528bcc200dd9b6b9912d6fecda9e097454251e157

Aliases

arxiv: 1607.08815 · arxiv_version: 1607.08815v2 · doi: 10.48550/arxiv.1607.08815 · pith_short_12: CLVIZ6FBCPCI · pith_short_16: CLVIZ6FBCPCIUDBM · pith_short_8: CLVIZ6FB

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/CLVIZ6FBCPCIUDBMJP2SRPGCAD \
  | 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: 12ea8cf8a113c48a0c2c4bf528bcc200dd9b6b9912d6fecda9e097454251e157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7deda753dedaae60ee8141e9e97e9a3e00cef83a81b4515c4f70c74f17d1716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-29T14:02:22Z",
    "title_canon_sha256": "1f74c636e66a0419772e6b3a7998c411264be3b270ed86e18aa3918c52562b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08815",
    "kind": "arxiv",
    "version": 2
  }
}