Pith Number

pith:CQD3YFPN

pith:2018:CQD3YFPNDCFWYPFNMC3B5K6UJI

not attested not anchored not stored refs pending

On two upper bounds for hypersurfaces involving a Thas' invariant

Andrea Luigi Tironi

arxiv:1802.01210 v1 · 2018-02-04 · 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{CQD3YFPNDCFWYPFNMC3B5K6UJI}

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	2026-05-18T00:24:27.045349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1407bc15ed188b6c3cad60b61eabd44a13bf02c2f16838efc8d7818db2a67970

Aliases

arxiv: 1802.01210 · arxiv_version: 1802.01210v1 · doi: 10.48550/arxiv.1802.01210 · pith_short_12: CQD3YFPNDCFW · pith_short_16: CQD3YFPNDCFWYPFN · pith_short_8: CQD3YFPN

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/CQD3YFPNDCFWYPFNMC3B5K6UJI \
  | 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: 1407bc15ed188b6c3cad60b61eabd44a13bf02c2f16838efc8d7818db2a67970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c28cc591e96000c85e6153d451ef6bec943005e1aa6492c214608ade353ca1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-04T22:30:24Z",
    "title_canon_sha256": "a1d2fba02c2dd54478858306a0387efc4f9fa657db1fd804ed9f0272b3f67f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01210",
    "kind": "arxiv",
    "version": 1
  }
}