Pith Number

pith:VBOVOXFC

pith:2017:VBOVOXFC7K4JCMXPB4IGDUEUE2

not attested not anchored not stored refs pending

Freeness and near freeness are combinatorial for line arrangements in small degrees

Alexandru Dimca, Anca Macinic, Denis Ibadula

arxiv:1712.04400 v2 · 2017-12-12 · math.AT · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBOVOXFC7K4JCMXPB4IGDUEUE2}

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	2026-05-18T00:17:01.468756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85d575ca2fab89132ef0f1061d0942683ec26b57d45e922969d6880c9736976

Aliases

arxiv: 1712.04400 · arxiv_version: 1712.04400v2 · doi: 10.48550/arxiv.1712.04400 · pith_short_12: VBOVOXFC7K4J · pith_short_16: VBOVOXFC7K4JCMXP · pith_short_8: VBOVOXFC

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/VBOVOXFC7K4JCMXPB4IGDUEUE2 \
  | 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: a85d575ca2fab89132ef0f1061d0942683ec26b57d45e922969d6880c9736976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c47bde3313572b4acb21898bbd5f9c6e6dc9920305337b692d731988e5a43a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-12-12T17:29:00Z",
    "title_canon_sha256": "3a17c02b8408b546b2c66c542829ddf50f633998a01c696989df0e9b7c2208fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04400",
    "kind": "arxiv",
    "version": 2
  }
}