Pith Number

pith:HPZLIMHQ

pith:2011:HPZLIMHQA6QP6IQKBKWLTEE7EO

not attested not anchored not stored refs pending

The 1/3-2/3 conjecture for $N$-free ordered sets

Imed Zaguia

arxiv:1107.5626 v2 · 2011-07-28 · 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{HPZLIMHQA6QP6IQKBKWLTEE7EO}

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	2026-05-18T03:55:21.571821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf2b430f007a0ff220a0aacb9909f2389f352db8f3ddaaaa7626f0504612791

Aliases

arxiv: 1107.5626 · arxiv_version: 1107.5626v2 · doi: 10.48550/arxiv.1107.5626 · pith_short_12: HPZLIMHQA6QP · pith_short_16: HPZLIMHQA6QP6IQK · pith_short_8: HPZLIMHQ

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/HPZLIMHQA6QP6IQKBKWLTEE7EO \
  | 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: 3bf2b430f007a0ff220a0aacb9909f2389f352db8f3ddaaaa7626f0504612791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "548628a485d7039d68cce656875b86f17ed5adff67c958cdace52fc6384720e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-28T05:31:19Z",
    "title_canon_sha256": "820bf6b9324c8100beeaeb76f4873c0ceca546aa78d58b70c85a01a7784362f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5626",
    "kind": "arxiv",
    "version": 2
  }
}