Pith Number

pith:FDKGVJ7J

pith:2013:FDKGVJ7JI3Z27MFEK5CGRGTITU

not attested not anchored not stored refs pending

Covering Paths for Planar Point Sets

Adrian Dumitrescu, Balazs Keszegh, Csaba D. Toth, Daniel Gerbner

arxiv:1303.0262 v1 · 2013-03-01 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDKGVJ7JI3Z27MFEK5CGRGTITU}

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	2026-05-18T03:32:06.447449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28d46aa7e946f3afb0a45744689a689d00dca5e45ab2e72afe5896609464d368

Aliases

arxiv: 1303.0262 · arxiv_version: 1303.0262v1 · doi: 10.48550/arxiv.1303.0262 · pith_short_12: FDKGVJ7JI3Z2 · pith_short_16: FDKGVJ7JI3Z27MFE · pith_short_8: FDKGVJ7J

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/FDKGVJ7JI3Z27MFEK5CGRGTITU \
  | 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: 28d46aa7e946f3afb0a45744689a689d00dca5e45ab2e72afe5896609464d368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "045224fbeff1b5d7c22f04c8b14839821561a1b1c005d7fb527cab1f8bd5a6cc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-01T19:54:45Z",
    "title_canon_sha256": "7c83de8c2e5d8954690dc98b2765172880ee75b9cecbf96b6942adfc52b1c68e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0262",
    "kind": "arxiv",
    "version": 1
  }
}