Pith Number

pith:JZBZ2GJO

pith:2010:JZBZ2GJOJR7YV3T5B3RSND3RZ2

not attested not anchored not stored refs pending

On the dimension of spline spaces on planar T-meshes

Bernard Mourrain (GALAAD2)

arxiv:1011.1752 v3 · 2010-11-08 · 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{JZBZ2GJOJR7YV3T5B3RSND3RZ2}

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	2026-05-18T01:33:17.216640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e439d192e4c7f8aee7d0ee3268f71cea644344754cb3d44200433a4941f7e9d

Aliases

arxiv: 1011.1752 · arxiv_version: 1011.1752v3 · doi: 10.48550/arxiv.1011.1752 · pith_short_12: JZBZ2GJOJR7Y · pith_short_16: JZBZ2GJOJR7YV3T5 · pith_short_8: JZBZ2GJO

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/JZBZ2GJOJR7YV3T5B3RSND3RZ2 \
  | 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: 4e439d192e4c7f8aee7d0ee3268f71cea644344754cb3d44200433a4941f7e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9d4748755b58be51694a076b57d65e99a1eeabf208d9aa4d8836b7cc186766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-08T10:11:52Z",
    "title_canon_sha256": "a73424f0ec853cb13e515a3e237374671ae07f3486ddb3b49ebd756148bced03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1752",
    "kind": "arxiv",
    "version": 3
  }
}