Pith Number

pith:UDVXJY4B

pith:2016:UDVXJY4BAZFBS456GSCP7M5FPQ

not attested not anchored not stored refs pending

Nordhaus-Gaddum-type theorem for total proper connection number of graphs

Jingshu Zhang, Wenjing Li, Xueliang Li

arxiv:1611.08990 v2 · 2016-11-28 · 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{UDVXJY4BAZFBS456GSCP7M5FPQ}

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	2026-05-18T00:56:11.708876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0eb74e381064a1973be3484ffb3a57c115e4490b7bcfd68cf33b1e15e0f7337

Aliases

arxiv: 1611.08990 · arxiv_version: 1611.08990v2 · doi: 10.48550/arxiv.1611.08990 · pith_short_12: UDVXJY4BAZFB · pith_short_16: UDVXJY4BAZFBS456 · pith_short_8: UDVXJY4B

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/UDVXJY4BAZFBS456GSCP7M5FPQ \
  | 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: a0eb74e381064a1973be3484ffb3a57c115e4490b7bcfd68cf33b1e15e0f7337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa08eac05818cc7cb66477328cac8233bd3cc88625c60856f5cd00a023aec77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-28T05:41:33Z",
    "title_canon_sha256": "5e572a6ce3b8454ba8f03a3f46e668a296b5a82afe8343f025657ffc126ee8b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08990",
    "kind": "arxiv",
    "version": 2
  }
}