Pith Number

pith:PIYI7MQU

pith:2019:PIYI7MQUXQRSROKSYOKWGHUBMT

not attested not anchored not stored refs pending

Clustered Variants of Haj\'os' Conjecture

Chun-Hung Liu, David R. Wood

arxiv:1908.05597 v4 · 2019-08-14 · 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{PIYI7MQUXQRSROKSYOKWGHUBMT}

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	2026-07-05T03:17:11.747614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a308fb214bc2328b952c395631e8164e5fccb0bc1456df0c453ca9dbe8a88bf

Aliases

arxiv: 1908.05597 · arxiv_version: 1908.05597v4 · doi: 10.48550/arxiv.1908.05597 · pith_short_12: PIYI7MQUXQRS · pith_short_16: PIYI7MQUXQRSROKS · pith_short_8: PIYI7MQU

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/PIYI7MQUXQRSROKSYOKWGHUBMT \
  | 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: 7a308fb214bc2328b952c395631e8164e5fccb0bc1456df0c453ca9dbe8a88bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a832e1164df0266cdff686bd98ec50a83e29026f3e287887189cabaa0c14c59a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-14T06:36:49Z",
    "title_canon_sha256": "e959e985789d067aec74dc2e56339e4bdebd76ae174a9ef3cae13ce2837dd1c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05597",
    "kind": "arxiv",
    "version": 4
  }
}