Pith Number

pith:GVIODL3L

pith:2019:GVIODL3L34XYNZZ6677M7ZAMBY

not attested not anchored not stored refs pending

Vertex arboricity of cographs

C\'esar Hern\'andez Cruz, Pavol Hell, Payam Valadkhan, Sebasti\'an Gonz\'alez Hermosillo de la Maza, Seyyed Aliasghar Hosseini

arxiv:1907.07286 v1 · 2019-07-16 · 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{GVIODL3L34XYNZZ6677M7ZAMBY}

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	2026-05-17T23:40:22.801193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3550e1af6bdf2f86e73ef7fecfe40c0e06c7244463071198cbc5a5e04c28b89c

Aliases

arxiv: 1907.07286 · arxiv_version: 1907.07286v1 · doi: 10.48550/arxiv.1907.07286 · pith_short_12: GVIODL3L34XY · pith_short_16: GVIODL3L34XYNZZ6 · pith_short_8: GVIODL3L

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/GVIODL3L34XYNZZ6677M7ZAMBY \
  | 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: 3550e1af6bdf2f86e73ef7fecfe40c0e06c7244463071198cbc5a5e04c28b89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f95e5055bde863711d17dc894821ef6b1ee1bf6b6537a6e46f9a7fd107289b1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-16T23:22:10Z",
    "title_canon_sha256": "4936ef3170250cb725000f931bd0acb24c7cacae9e732f7a44c3790884fe0ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07286",
    "kind": "arxiv",
    "version": 1
  }
}