Pith Number

pith:LHZUUPEY

pith:2014:LHZUUPEYG6SM67GKKGOA3MLU4K

not attested not anchored not stored refs pending

Bounds on the dimension of trivariate spline spaces: A homological approach

Bernard Mourrain, Nelly Villamizar

arxiv:1403.0748 v1 · 2014-03-04 · 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{LHZUUPEYG6SM67GKKGOA3MLU4K}

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	2026-05-18T02:57:15.799547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f34a3c9837a4cf7cca519c0db174e2895e373b28c703ebf9306068bca130be

Aliases

arxiv: 1403.0748 · arxiv_version: 1403.0748v1 · doi: 10.48550/arxiv.1403.0748 · pith_short_12: LHZUUPEYG6SM · pith_short_16: LHZUUPEYG6SM67GK · pith_short_8: LHZUUPEY

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/LHZUUPEYG6SM67GKKGOA3MLU4K \
  | 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: 59f34a3c9837a4cf7cca519c0db174e2895e373b28c703ebf9306068bca130be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3401032e6806019ac30e909e746b7f2cb795b29da15c50e4bb7ec7c23f945f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-04T11:47:37Z",
    "title_canon_sha256": "f7ffcda2cd71ddc494b8719814b0f0aef27e1fb98a057fd405624d7b87ff8319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0748",
    "kind": "arxiv",
    "version": 1
  }
}