Pith Number

pith:67DOAHPU

pith:2013:67DOAHPUVMJKAW2GYWHDRO4VFS

not attested not anchored not stored refs pending

Selective covering properties of product spaces, II: gamma spaces

Arnold W. Miller, Boaz Tsaban, Lyubomyr Zdomskyy

arxiv:1310.8622 v4 · 2013-10-31 · math.LO · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67DOAHPUVMJKAW2GYWHDRO4VFS}

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	2026-05-18T00:03:42.055618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c6e01df4ab12a05b46c58e38bb952c97a20c2ede098924110dbfce754b7e94

Aliases

arxiv: 1310.8622 · arxiv_version: 1310.8622v4 · doi: 10.48550/arxiv.1310.8622 · pith_short_12: 67DOAHPUVMJK · pith_short_16: 67DOAHPUVMJKAW2G · pith_short_8: 67DOAHPU

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/67DOAHPUVMJKAW2GYWHDRO4VFS \
  | 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: f7c6e01df4ab12a05b46c58e38bb952c97a20c2ede098924110dbfce754b7e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000195d28aef28f31c6d1b2d54b4a7f60201c72bee5a916a1e0a3042a674043e",
    "cross_cats_sorted": [
      "math.FA",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-10-31T18:07:29Z",
    "title_canon_sha256": "9e5e05c192dd3f3c5dc2b3f8bd0b45ef4c20d72187387f22de6d685621f10635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8622",
    "kind": "arxiv",
    "version": 4
  }
}