Pith Number

pith:YOX5I6PN

pith:2016:YOX5I6PNIMIM2UQSCDRUI2XBNR

not attested not anchored not stored refs pending

Degree sum conditions for graphs to have proper connection number 2

Hong Chang, Xueliang Li, Zhong Huang

arxiv:1611.09500 v1 · 2016-11-29 · 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{YOX5I6PNIMIM2UQSCDRUI2XBNR}

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	2026-05-18T00:56:18.280130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3afd479ed4310cd521210e3446ae16c453b7c836dfebf7b6b12d015563c6914

Aliases

arxiv: 1611.09500 · arxiv_version: 1611.09500v1 · doi: 10.48550/arxiv.1611.09500 · pith_short_12: YOX5I6PNIMIM · pith_short_16: YOX5I6PNIMIM2UQS · pith_short_8: YOX5I6PN

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/YOX5I6PNIMIM2UQSCDRUI2XBNR \
  | 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: c3afd479ed4310cd521210e3446ae16c453b7c836dfebf7b6b12d015563c6914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135694d51b85020c67dd1fde69f9c869698cdb0e7b0dad54752a6a0f375ec6a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-29T06:02:28Z",
    "title_canon_sha256": "9379f6ac19682ba8b8c556e23d8f0864e0a44f50da24f08af03b3b782369da90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09500",
    "kind": "arxiv",
    "version": 1
  }
}