Pith Number

pith:VJ4UBSQI

pith:2016:VJ4UBSQIGFTXD6KIKN7AIMKWAX

not attested not anchored not stored refs pending

Distance proper connection of graphs and their complements

Colton Magnant, Meiqin Wei, Xiaoyu Zhu, Xueliang Li

arxiv:1607.05930 v1 · 2016-07-20 · 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{VJ4UBSQIGFTXD6KIKN7AIMKWAX}

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	2026-05-18T01:10:43.682949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7940ca08316771f948537e04315605eddab9e41966f6ea8e9bba541862727b

Aliases

arxiv: 1607.05930 · arxiv_version: 1607.05930v1 · doi: 10.48550/arxiv.1607.05930 · pith_short_12: VJ4UBSQIGFTX · pith_short_16: VJ4UBSQIGFTXD6KI · pith_short_8: VJ4UBSQI

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/VJ4UBSQIGFTXD6KIKN7AIMKWAX \
  | 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: aa7940ca08316771f948537e04315605eddab9e41966f6ea8e9bba541862727b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70283f75a3a9f5c7f958e195549f5c1d0d8c72d32e7bea85b3c12097f35627c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-20T12:07:50Z",
    "title_canon_sha256": "9863694569e6a9ce2097fed0c6e69e20b79f314cc48bb456961ca5012f198f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05930",
    "kind": "arxiv",
    "version": 1
  }
}