Pith Number

pith:JYGDO7M5

pith:2019:JYGDO7M5CSVKUOXMBTWIZY5A3I

not attested not anchored not stored refs pending

Characterizing 3-sets in Union-Closed Families

Jonad Pulaj

arxiv:1903.02317 v1 · 2019-03-06 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYGDO7M5CSVKUOXMBTWIZY5A3I}

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	2026-05-17T23:51:56.248717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e0c377d9d14aaaa3aec0cec8ce3a0da04d8c591579c2115339407d89f4971ad

Aliases

arxiv: 1903.02317 · arxiv_version: 1903.02317v1 · doi: 10.48550/arxiv.1903.02317 · pith_short_12: JYGDO7M5CSVK · pith_short_16: JYGDO7M5CSVKUOXM · pith_short_8: JYGDO7M5

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/JYGDO7M5CSVKUOXMBTWIZY5A3I \
  | 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: 4e0c377d9d14aaaa3aec0cec8ce3a0da04d8c591579c2115339407d89f4971ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bad42ac6490422b76b0528b76ca5938f2df64b9590d0b6eb67a262c9f646773",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-06T11:06:56Z",
    "title_canon_sha256": "2ff1f9027baa3a737e60793565da0bba5aaeeea96b75014588a7675e9215595c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02317",
    "kind": "arxiv",
    "version": 1
  }
}