Pith Number

pith:O3MPLNUA

pith:2015:O3MPLNUAODJDAVTZSTI73QGAVN

not attested not anchored not stored refs pending

Generalizations of two cardinal inequalities of Hajnal and Juh\'asz

Ivan S. Gotchev

arxiv:1504.01790 v1 · 2015-04-08 · 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{O3MPLNUAODJDAVTZSTI73QGAVN}

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	2026-05-18T02:19:18.363430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d8f5b68070d230567994d1fdc0c0ab719553c4f2fc65a516f9d9e2c2e31ea0

Aliases

arxiv: 1504.01790 · arxiv_version: 1504.01790v1 · doi: 10.48550/arxiv.1504.01790 · pith_short_12: O3MPLNUAODJD · pith_short_16: O3MPLNUAODJDAVTZ · pith_short_8: O3MPLNUA

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/O3MPLNUAODJDAVTZSTI73QGAVN \
  | 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: 76d8f5b68070d230567994d1fdc0c0ab719553c4f2fc65a516f9d9e2c2e31ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3200451054981723aa1fec4ee35449c2ef4868d966ade6afd6b3452051f8fc83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-04-08T00:22:26Z",
    "title_canon_sha256": "2594e0f0a7f90856ad9c77f83ae21644c40184540729b2b7d0fdba7d64a52bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01790",
    "kind": "arxiv",
    "version": 1
  }
}