Pith Number

pith:2KW3SLC4

pith:2015:2KW3SLC4MUE6DWWW3WKJZL774H

not attested not anchored not stored refs pending

(4,2)-choosability of planar graphs with forbidden structures

Bernard Lidick\'y, Christopher Cox, Derrick Stolee, Kacy Messerschmidt, Kathleen Nowak, Kevin F. Palmowski, Kevin Moss, Kirsten Hogenson, Michael Dairyko, Mohit Kumbhat, Zhanar Berikkyzy

arxiv:1512.03787 v1 · 2015-12-11 · 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{2KW3SLC4MUE6DWWW3WKJZL774H}

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	2026-05-18T00:40:41.588377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2adb92c5c6509e1dad6dd949cafffe1d13ceea86c75d79f79e5cd7d58bd32af

Aliases

arxiv: 1512.03787 · arxiv_version: 1512.03787v1 · doi: 10.48550/arxiv.1512.03787 · pith_short_12: 2KW3SLC4MUE6 · pith_short_16: 2KW3SLC4MUE6DWWW · pith_short_8: 2KW3SLC4

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/2KW3SLC4MUE6DWWW3WKJZL774H \
  | 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: d2adb92c5c6509e1dad6dd949cafffe1d13ceea86c75d79f79e5cd7d58bd32af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e7694f6d54d2ded6606b35d88fa40515ea5a6124e0aa8caa1506e621eabfad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-11T20:16:17Z",
    "title_canon_sha256": "a01812dfed298d1a838da44159bbb797385cf05bf1acbdaa901ee611a95241b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03787",
    "kind": "arxiv",
    "version": 1
  }
}