Pith Number

pith:JUN24KNL

pith:2016:JUN24KNLR6GXPQ7WSXYSP73ALS

not attested not anchored not stored refs pending

On minimum identifying codes in some Cartesian product graphs

Douglas F. Rall, Kirsti Wash

arxiv:1602.04089 v1 · 2016-02-12 · 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{JUN24KNLR6GXPQ7WSXYSP73ALS}

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	2026-05-18T01:20:54.620611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d1bae29ab8f8d77c3f695f127ff605cbd1a067aef923890f7bfe5cb4a4663d0

Aliases

arxiv: 1602.04089 · arxiv_version: 1602.04089v1 · doi: 10.48550/arxiv.1602.04089 · pith_short_12: JUN24KNLR6GX · pith_short_16: JUN24KNLR6GXPQ7W · pith_short_8: JUN24KNL

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/JUN24KNLR6GXPQ7WSXYSP73ALS \
  | 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: 4d1bae29ab8f8d77c3f695f127ff605cbd1a067aef923890f7bfe5cb4a4663d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb827cd5b8fece87f8af6806e8f0dad92937531729f3434469465d402fe901b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-12T15:55:08Z",
    "title_canon_sha256": "7c25ce58b126c3ce7dd76dce21989318a95d5e4f9ab4448879c736c062ba66c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04089",
    "kind": "arxiv",
    "version": 1
  }
}