Pith Number

pith:W3PFGEIJ

pith:2008:W3PFGEIJVM4RCQ2XFNRUEOFSHE

not attested not anchored not stored refs pending

Finite planar emulators for K_{4,5} - 4K_2 and K_{1,2,2,2} and Fellows' Conjecture

Yasushi Yamashita, Yo'av Rieck

arxiv:0812.3700 v3 · 2008-12-19 · 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{W3PFGEIJVM4RCQ2XFNRUEOFSHE}

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	2026-05-18T03:58:25.124476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6de531109ab391143572b634238b23926363d3f3ec5cd50d6eedbf4081ca6a5

Aliases

arxiv: 0812.3700 · arxiv_version: 0812.3700v3 · doi: 10.48550/arxiv.0812.3700 · pith_short_12: W3PFGEIJVM4R · pith_short_16: W3PFGEIJVM4RCQ2X · pith_short_8: W3PFGEIJ

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/W3PFGEIJVM4RCQ2XFNRUEOFSHE \
  | 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: b6de531109ab391143572b634238b23926363d3f3ec5cd50d6eedbf4081ca6a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b250482a23821567ccca741de481c9d94316165c9a42ae37c04b159113c92698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-12-19T07:46:24Z",
    "title_canon_sha256": "0d917c51256dbf58ffddfdfcbe7b92cfc6d1c5741a93b41711cbb53a4856cd19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3700",
    "kind": "arxiv",
    "version": 3
  }
}