Pith Number

pith:MVBGDGCL

pith:2026:MVBGDGCL64DGXRSKH76VOOMCI3

not attested not anchored not stored refs pending

Every signed planar graph is $5$-choosable: A short proof and refinements

Maxwell Ndognkon Manga, Pie Desire Ebode Atangana

arxiv:2605.22860 v1 · 2026-05-19 · 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{MVBGDGCL64DGXRSKH76VOOMCI3}

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	2026-05-25T02:01:27.482214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654261984bf7066bc64a3ffd57398246e13a561466ec427e316cc63d65701b35

Aliases

arxiv: 2605.22860 · arxiv_version: 2605.22860v1 · doi: 10.48550/arxiv.2605.22860 · pith_short_12: MVBGDGCL64DG · pith_short_16: MVBGDGCL64DGXRSK · pith_short_8: MVBGDGCL

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/MVBGDGCL64DGXRSKH76VOOMCI3 \
  | 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: 654261984bf7066bc64a3ffd57398246e13a561466ec427e316cc63d65701b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7ee406602e065d12dd6fb5c9523d4a2a14509f597d868fa4d6adba17138af9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T16:24:20Z",
    "title_canon_sha256": "88dac6664e0f438b3372322d067ae155b767fd07c71b6a1f65becc0182862d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22860",
    "kind": "arxiv",
    "version": 1
  }
}