Pith Number

pith:JGYKX6JL

pith:2016:JGYKX6JLNLFQ4S5GCL4XJSYITY

not attested not anchored not stored refs pending

The 1/3-2/3 Conjecture for ordered sets whose cover graph is a forest

Imed Zaguia

arxiv:1610.00809 v3 · 2016-10-04 · 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{JGYKX6JLNLFQ4S5GCL4XJSYITY}

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	2026-05-18T00:42:12.746620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b0abf92b6acb0e4ba612f974cb089e2ee68fc85d358bb4ac36da0ade0713cb

Aliases

arxiv: 1610.00809 · arxiv_version: 1610.00809v3 · doi: 10.48550/arxiv.1610.00809 · pith_short_12: JGYKX6JLNLFQ · pith_short_16: JGYKX6JLNLFQ4S5G · pith_short_8: JGYKX6JL

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/JGYKX6JLNLFQ4S5GCL4XJSYITY \
  | 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: 49b0abf92b6acb0e4ba612f974cb089e2ee68fc85d358bb4ac36da0ade0713cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7062370cce6d33f27913a0aeaba03e377fc3cd94506912e105fc82549295dbf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-04T00:52:34Z",
    "title_canon_sha256": "c9c95c51eb1487d0df17a13546aef2f4222217986c550f4698f0180578613e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00809",
    "kind": "arxiv",
    "version": 3
  }
}