Pith Number

pith:QOEIVHDM

pith:2018:QOEIVHDMGOWFKTYXOMYTNROEBJ

not attested not anchored not stored refs pending

Structure and Supersaturation for Intersecting Families

Hong Liu, J\'ozsef Balogh, Maryam Sharifzadeh, Shagnik Das, Tuan Tran

arxiv:1802.08018 v2 · 2018-02-22 · 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{QOEIVHDMGOWFKTYXOMYTNROEBJ}

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	2026-05-17T23:43:51.423272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83888a9c6c33ac554f17733136c5c40a4bf9ec8320c630ad59d3f41a849d352f

Aliases

arxiv: 1802.08018 · arxiv_version: 1802.08018v2 · doi: 10.48550/arxiv.1802.08018 · pith_short_12: QOEIVHDMGOWF · pith_short_16: QOEIVHDMGOWFKTYX · pith_short_8: QOEIVHDM

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/QOEIVHDMGOWFKTYXOMYTNROEBJ \
  | 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: 83888a9c6c33ac554f17733136c5c40a4bf9ec8320c630ad59d3f41a849d352f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf72ef3a01239de881d65674afe197d6a330ad5c8a85086ec10802da4a5de311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-22T12:52:31Z",
    "title_canon_sha256": "054a3a6f4a80113748e8f0f4d5a0e98b9851512019eb5a5f75e1c42faeddfb8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08018",
    "kind": "arxiv",
    "version": 2
  }
}