Pith Number

pith:DCS5MZGE

pith:2003:DCS5MZGE45YWSKJU6B2KH7CCC3

not attested not anchored not stored refs pending

The combinatorics of Borel covers

Boaz Tsaban, Marion Scheepers

arxiv:math/0302322 v4 · 2003-02-26 · math.GN · math.CA · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCS5MZGE45YWSKJU6B2KH7CCC3}

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	2026-05-18T04:42:44.993518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a5d664c4e771692934f074a3fc4216d964403077fdec66eef1d233b543189d

Aliases

arxiv: math/0302322 · arxiv_version: math/0302322v4 · doi: 10.48550/arxiv.math/0302322 · pith_short_12: DCS5MZGE45YW · pith_short_16: DCS5MZGE45YWSKJU · pith_short_8: DCS5MZGE

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/DCS5MZGE45YWSKJU6B2KH7CCC3 \
  | 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: 18a5d664c4e771692934f074a3fc4216d964403077fdec66eef1d233b543189d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6280e45b15ad184f56066d7b7c776d24d6b62a33075eda061ff52e484e0e6451",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2003-02-26T09:01:01Z",
    "title_canon_sha256": "d90c391274774077ca99d477592e1daec51e6a9e78377debb33a275956988676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302322",
    "kind": "arxiv",
    "version": 4
  }
}