Pith Number

pith:CTDEUWDR

pith:2017:CTDEUWDR6METNINXGB2WMPDSA7

not attested not anchored not stored refs pending

Two Results on Union-Closed Families

Ilan Karpas

arxiv:1708.01434 v1 · 2017-08-04 · 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{CTDEUWDR6METNINXGB2WMPDSA7}

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.

Cited by

1 paper in Pith

On the flint hills series

Receipt and verification

First computed	2026-05-18T00:38:37.376942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c64a5871f30936a1b73075663c7207e0d011f0be7f58e702102ade6b476faa

Aliases

arxiv: 1708.01434 · arxiv_version: 1708.01434v1 · doi: 10.48550/arxiv.1708.01434 · pith_short_12: CTDEUWDR6MET · pith_short_16: CTDEUWDR6METNINX · pith_short_8: CTDEUWDR

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/CTDEUWDR6METNINXGB2WMPDSA7 \
  | 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: 14c64a5871f30936a1b73075663c7207e0d011f0be7f58e702102ade6b476faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab8d93050176ab7bb403d948f349116a1505e3c0327288998635fd283a7a11c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-04T09:58:32Z",
    "title_canon_sha256": "b3837bf55abcdd6caba69631282f3fb98027661491e61bb89a0dc68d61db430c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01434",
    "kind": "arxiv",
    "version": 1
  }
}