Pith Number

pith:7VTZDQ67

pith:2014:7VTZDQ67QLEDLRFWDAM4ZB6GAG

not attested not anchored not stored refs pending

A proper total coloring distinguishing adjacent vertices by sums of some product graphs

Dongseok Kim, Hana Choi, Sungjin Lee, Yeonhee Lee

arxiv:1402.0615 v2 · 2014-02-04 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

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	2026-05-18T02:28:23.126031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd6791c3df82c835c4b61819cc87c601aec75190b6d406cc6e4fac8efa80dd95

Aliases

arxiv: 1402.0615 · arxiv_version: 1402.0615v2 · doi: 10.48550/arxiv.1402.0615 · pith_short_12: 7VTZDQ67QLED · pith_short_16: 7VTZDQ67QLEDLRFW · pith_short_8: 7VTZDQ67

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/7VTZDQ67QLEDLRFWDAM4ZB6GAG \
  | 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: fd6791c3df82c835c4b61819cc87c601aec75190b6d406cc6e4fac8efa80dd95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "953b0c69a30b3d4eeb8707b88548824de452b4dc71d116b5a0f4543f497a6616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-04T04:17:16Z",
    "title_canon_sha256": "01d91491b9f4e3e08f30808dcdefd4a754c376ba5780579d69afd60ce8ccca0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0615",
    "kind": "arxiv",
    "version": 2
  }
}