Pith Number

pith:7XL422HO

pith:2016:7XL422HO6QPYEGUYXP7V4UA62C

not attested not anchored not stored refs pending

On the b-continuity of the lexicographic product of graphs

Ana Silva, Cl\'audia Linhares Sales, Leonardo Sampaio

arxiv:1610.03084 v1 · 2016-10-10 · 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{7XL422HO6QPYEGUYXP7V4UA62C}

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	2026-05-18T01:02:49.643661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd7cd68eef41f821a98bbff5e501ed0b6c2c110632b82dd65856e6209c164cf

Aliases

arxiv: 1610.03084 · arxiv_version: 1610.03084v1 · doi: 10.48550/arxiv.1610.03084 · pith_short_12: 7XL422HO6QPY · pith_short_16: 7XL422HO6QPYEGUY · pith_short_8: 7XL422HO

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/7XL422HO6QPYEGUYXP7V4UA62C \
  | 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: fdd7cd68eef41f821a98bbff5e501ed0b6c2c110632b82dd65856e6209c164cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21fd59ded89c4467eddd7a9227de7bec8c18e36bced8692a42dbc1d53217a5be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-10-10T20:28:41Z",
    "title_canon_sha256": "0bbd922deb776e96794689711d20c1c6c9edc175ce86b3198f17431acc01e7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03084",
    "kind": "arxiv",
    "version": 1
  }
}