Pith Number

pith:BKHZHQMY

pith:2019:BKHZHQMYSZXTWTLL74CW2LO2PL

not attested not anchored not stored refs pending

Reconfiguring 10-colourings of planar graphs

Carl Feghali

arxiv:1902.02278 v2 · 2019-02-06 · 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{BKHZHQMYSZXTWTLL74CW2LO2PL}

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	2026-05-17T23:53:08.729006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a8f93c198966f3b4d6bff056d2dda7ac9475e33e47412d44e51967d709521df

Aliases

arxiv: 1902.02278 · arxiv_version: 1902.02278v2 · doi: 10.48550/arxiv.1902.02278 · pith_short_12: BKHZHQMYSZXT · pith_short_16: BKHZHQMYSZXTWTLL · pith_short_8: BKHZHQMY

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/BKHZHQMYSZXTWTLL74CW2LO2PL \
  | 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: 0a8f93c198966f3b4d6bff056d2dda7ac9475e33e47412d44e51967d709521df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae87948c6cdd937bed3a74fb3297d08a99fe69661a5ffa20e99bb0c9168c8393",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-06T17:15:15Z",
    "title_canon_sha256": "b1e20b35a27d559d8a9cbf70c05d942b245ee77caa58ee5e1375e975f04a886d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02278",
    "kind": "arxiv",
    "version": 2
  }
}