Pith Number

pith:OMAH4ATT

pith:2012:OMAH4ATTUDSIMSH2RSGVBORPXM

not attested not anchored not stored refs pending

A New Upper Bound for the VC-Dimension of Visibility Regions

Alexander Gilbers, Rolf Klein

arxiv:1206.5689 v1 · 2012-06-25 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMAH4ATTUDSIMSH2RSGVBORPXM}

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	2026-05-18T03:52:39.320636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73007e0273a0e48648fa8c8d50ba2fbb0c59e643b75340e24e93e58b7b9374b4

Aliases

arxiv: 1206.5689 · arxiv_version: 1206.5689v1 · doi: 10.48550/arxiv.1206.5689 · pith_short_12: OMAH4ATTUDSI · pith_short_16: OMAH4ATTUDSIMSH2 · pith_short_8: OMAH4ATT

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/OMAH4ATTUDSIMSH2RSGVBORPXM \
  | 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: 73007e0273a0e48648fa8c8d50ba2fbb0c59e643b75340e24e93e58b7b9374b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1331fc2cfe2a54aa2abd356ef99887a9838aca4ad52d9dd8ad2921e2ac163c2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-06-25T14:12:52Z",
    "title_canon_sha256": "254bc4b0735e999fa5202193c05193b8b1e6d1a04c5a948765d305ba9f4ec72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5689",
    "kind": "arxiv",
    "version": 1
  }
}