Pith Number

pith:ZO4PDTPM

pith:2019:ZO4PDTPM2SO5FPW2WHOSVUBXGC

not attested not anchored not stored refs pending

The structure and the list 3-dynamic coloring of outer-1-planar graphs

Xin Zhang, Yan Li

arxiv:1910.09419 v3 · 2019-10-21 · 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{ZO4PDTPM2SO5FPW2WHOSVUBXGC}

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	2026-07-05T06:23:28.306671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb8f1cdecd49dd2bedab1dd2ad03730844eba47f2c23a152dd270a2f88445e4

Aliases

arxiv: 1910.09419 · arxiv_version: 1910.09419v3 · doi: 10.48550/arxiv.1910.09419 · pith_short_12: ZO4PDTPM2SO5 · pith_short_16: ZO4PDTPM2SO5FPW2 · pith_short_8: ZO4PDTPM

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/ZO4PDTPM2SO5FPW2WHOSVUBXGC \
  | 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: cbb8f1cdecd49dd2bedab1dd2ad03730844eba47f2c23a152dd270a2f88445e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d0c10d799ebc1acf21b33ab4e6930489ceeea22fa09f4ace2caacf430c332f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-21T14:52:49Z",
    "title_canon_sha256": "98487260cbd81b271fc9f4b7bdbd52a1d6430888dcc752c7c45ae96c6658f98b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09419",
    "kind": "arxiv",
    "version": 3
  }
}