Pith Number

pith:75DR4NTI

pith:2017:75DR4NTIJATVLB64V7H2AXF6FX

not attested not anchored not stored refs pending

Counterexamples to containment problems for fat points schemes in the projective plane via multiplier ideals

Piotr Pokora, V\'ictor Gonz\'alez-Alonso

arxiv:1702.07509 v2 · 2017-02-24 · 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{75DR4NTIJATVLB64V7H2AXF6FX}

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	2026-05-17T23:59:03.801303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff471e366848275587dcafcfa05cbe2de001510ed0e1356ae14115a694b475ac

Aliases

arxiv: 1702.07509 · arxiv_version: 1702.07509v2 · doi: 10.48550/arxiv.1702.07509 · pith_short_12: 75DR4NTIJATV · pith_short_16: 75DR4NTIJATVLB64 · pith_short_8: 75DR4NTI

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/75DR4NTIJATVLB64V7H2AXF6FX \
  | 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: ff471e366848275587dcafcfa05cbe2de001510ed0e1356ae14115a694b475ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab2fbfbd7557d035cf8e31608e7f0d6abccd5382ed4bb7f3ab45fc69855dcec6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-24T09:27:29Z",
    "title_canon_sha256": "60736ecc4521ff7800a19ea9ac1c226c05d9bf7b2a3d39b2bbc3fc3415ae76d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07509",
    "kind": "arxiv",
    "version": 2
  }
}