Pith Number

pith:D5APINRD

pith:2020:D5APINRDGJWW5NAWQDEAK2UH2W

not attested not anchored not stored refs pending

Distance-constrained labellings of Cartesian products of graphs

Anna Llad\'o, Hamid Mokhtar, Oriol Serra, Sanming Zhou

arxiv:2006.09690 v3 · 2020-06-17 · 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{D5APINRDGJWW5NAWQDEAK2UH2W}

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	2026-07-05T04:04:35.170798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f40f43623326d6eb41680c8056a87d58bbe1dbce14e4f190083b9232029a678

Aliases

arxiv: 2006.09690 · arxiv_version: 2006.09690v3 · doi: 10.48550/arxiv.2006.09690 · pith_short_12: D5APINRDGJWW · pith_short_16: D5APINRDGJWW5NAW · pith_short_8: D5APINRD

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/D5APINRDGJWW5NAWQDEAK2UH2W \
  | 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: 1f40f43623326d6eb41680c8056a87d58bbe1dbce14e4f190083b9232029a678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17416ecb6a4ede1d0f5ce70e1ef0077a450f9232443c2a327f43dcf6736bfe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-17T07:15:09Z",
    "title_canon_sha256": "9a5ed4e755f3eb1f0fb1fd1cc9781ed2ffa9583b89657bdbb75273614810a954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.09690",
    "kind": "arxiv",
    "version": 3
  }
}