Pith Number

pith:AEKSUGHG

pith:2019:AEKSUGHG3Q5VUQSD7IHIESVKJO

not attested not anchored not stored refs pending

DP-4-coloring of planar graphs with some restrictions on cycles

Rui Li, Tao Wang

arxiv:1909.08511 v2 · 2019-09-17 · math.CO · cs.DM

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEKSUGHG3Q5VUQSD7IHIESVKJO}

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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.

Cited by

1 paper in Pith

Planar graphs without normally adjacent short cycles

Receipt and verification

First computed	2026-07-05T04:30:36.217772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01152a18e6dc3b5a4243fa0e824aaa4baeb2f6b737e569b167647c5901bcd616

Aliases

arxiv: 1909.08511 · arxiv_version: 1909.08511v2 · doi: 10.48550/arxiv.1909.08511 · pith_short_12: AEKSUGHG3Q5V · pith_short_16: AEKSUGHG3Q5VUQSD · pith_short_8: AEKSUGHG

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/AEKSUGHG3Q5VUQSD7IHIESVKJO \
  | 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: 01152a18e6dc3b5a4243fa0e824aaa4baeb2f6b737e569b167647c5901bcd616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f301768385e8f554f9bbb56ffae91c65bc3c938258f01bbfd62049864753ffc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-17T08:29:39Z",
    "title_canon_sha256": "f3f422b48e64272483affadaa976b6d0448be0f17525ee667ecd7728fd0e38f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.08511",
    "kind": "arxiv",
    "version": 2
  }
}