Pith Number

pith:GEXI34UI

pith:2012:GEXI34UINB3IJVKKQLQJAC7LVA

not attested not anchored not stored refs pending

Families that remain $k$-Sperner even after omitting an element of their ground set

Balazs Patkos

arxiv:1207.2923 v1 · 2012-07-12 · 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{GEXI34UINB3IJVKKQLQJAC7LVA}

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	2026-05-18T03:51:13.471956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

312e8df288687684d54a82e0900beba812748879d159791b3543dc359f66adc7

Aliases

arxiv: 1207.2923 · arxiv_version: 1207.2923v1 · doi: 10.48550/arxiv.1207.2923 · pith_short_12: GEXI34UINB3I · pith_short_16: GEXI34UINB3IJVKK · pith_short_8: GEXI34UI

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/GEXI34UINB3IJVKKQLQJAC7LVA \
  | 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: 312e8df288687684d54a82e0900beba812748879d159791b3543dc359f66adc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c9a406bdcdd9223541bc1482202aefc15f55df9088639b53c525d4ca0d75c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-12T11:12:21Z",
    "title_canon_sha256": "9b29c646f0dd060420e555325eafe12243c53ae8f4e530e81574268d60951b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2923",
    "kind": "arxiv",
    "version": 1
  }
}