Pith Number

pith:QX4M5I53

pith:2011:QX4M5I535XJGF3SUKETUAMCWRJ

not attested not anchored not stored refs pending

On topological properties of families of finite sets

Carlos Uzc\'ategui, Claribet Pi\~na

arxiv:1104.3930 v2 · 2011-04-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QX4M5I535XJGF3SUKETUAMCWRJ}

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	2026-05-18T01:26:19.333770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f8cea3bbedd262ee5451274030568a5a80990c727371e503add32f49e7d042

Aliases

arxiv: 1104.3930 · arxiv_version: 1104.3930v2 · doi: 10.48550/arxiv.1104.3930 · pith_short_12: QX4M5I535XJG · pith_short_16: QX4M5I535XJGF3SU · pith_short_8: QX4M5I53

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/QX4M5I535XJGF3SUKETUAMCWRJ \
  | 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: 85f8cea3bbedd262ee5451274030568a5a80990c727371e503add32f49e7d042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be33bbb395e201a29e031e32de11f4c1148041b60b4289d1faf0af9d10ffbbd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-20T02:50:55Z",
    "title_canon_sha256": "f00ace154705849df9fa8644e89507c5e3f25bd06d734f8adf84ec3b7d784039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3930",
    "kind": "arxiv",
    "version": 2
  }
}