Pith Number

pith:43RPF7SF

pith:1995:43RPF7SF65IWRLI4FO3CHEV6KU

not attested not anchored not stored refs pending

The combinatorics of open covers (II)

Arnold W. Miller, Marion Scheepers, Paul J. Szeptycki, Winfried Just

arxiv:math/9509211 v1 · 1995-09-12 · 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{43RPF7SF65IWRLI4FO3CHEV6KU}

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	2026-05-18T01:05:48.336381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e2f2fe45f75168ad1c2bb62392be55243c88fd1e2c575d3a04ccf1e47db42a

Aliases

arxiv: math/9509211 · arxiv_version: math/9509211v1 · doi: 10.48550/arxiv.math/9509211 · pith_short_12: 43RPF7SF65IW · pith_short_16: 43RPF7SF65IWRLI4 · pith_short_8: 43RPF7SF

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/43RPF7SF65IWRLI4FO3CHEV6KU \
  | 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: e6e2f2fe45f75168ad1c2bb62392be55243c88fd1e2c575d3a04ccf1e47db42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7be22594478fe4c236c0f553c1cffdea3d10179322d205113636992912c5204",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1995-09-12T00:00:00Z",
    "title_canon_sha256": "58a0db2255e17e9d351c1965f32eddf7810d6b21989d5bd6dec24f50b639d3a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9509211",
    "kind": "arxiv",
    "version": 1
  }
}