Pith Number

pith:XFOS5JV3

pith:2010:XFOS5JV3U3W37V4O6KCSDRY2JK

not attested not anchored not stored refs pending

Packing six T-joins in plane graphs

Daniel Kral, Ken-ichi Kawarabayashi, Zdenek Dvorak

arxiv:1009.5912 v3 · 2010-09-29 · 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{XFOS5JV3U3W37V4O6KCSDRY2JK}

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	2026-05-18T02:53:27.420749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95d2ea6bba6edbfd78ef28521c71a4a8d4495de10bf1954e7d466f040a16d91

Aliases

arxiv: 1009.5912 · arxiv_version: 1009.5912v3 · doi: 10.48550/arxiv.1009.5912 · pith_short_12: XFOS5JV3U3W3 · pith_short_16: XFOS5JV3U3W37V4O · pith_short_8: XFOS5JV3

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/XFOS5JV3U3W37V4O6KCSDRY2JK \
  | 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: b95d2ea6bba6edbfd78ef28521c71a4a8d4495de10bf1954e7d466f040a16d91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81d989315c859bbfbcc35efdcc179c3b851276e90fbd0b439b8fcfc6d78eccc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-29T15:25:19Z",
    "title_canon_sha256": "57043a4466fe5cc6a2d6b8431bc251df9380d860ae84e429412fe1e9e07224ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5912",
    "kind": "arxiv",
    "version": 3
  }
}