Pith Number

pith:YBICV4YY

pith:2014:YBICV4YYFWSFVG353JGX6U3HUL

not attested not anchored not stored refs pending

Equitable vertex arboricity of planar graphs

Xin Zhang

arxiv:1403.2810 v1 · 2014-03-12 · 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{YBICV4YYFWSFVG353JGX6U3HUL}

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	2026-05-18T02:56:33.993794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0502af3182da45a9b7dda4d7f5367a2c9d14fbc3a2fd51f63a1ce2163bd3ef3

Aliases

arxiv: 1403.2810 · arxiv_version: 1403.2810v1 · doi: 10.48550/arxiv.1403.2810 · pith_short_12: YBICV4YYFWSF · pith_short_16: YBICV4YYFWSFVG35 · pith_short_8: YBICV4YY

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/YBICV4YYFWSFVG353JGX6U3HUL \
  | 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: c0502af3182da45a9b7dda4d7f5367a2c9d14fbc3a2fd51f63a1ce2163bd3ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0bd3173c27c97b129cf89f4126f166ca9d36e728a18da0e07d93f3ded824d6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-12T04:48:06Z",
    "title_canon_sha256": "afa152511019eae4d42a49f139919bb061d5ab39051ef003c8b6aa9e55e5cbea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2810",
    "kind": "arxiv",
    "version": 1
  }
}