Pith Number

pith:77QYB4JA

pith:2016:77QYB4JAZLX3HG4XRTNTXTMH3P

not attested not anchored not stored refs pending

On two conjectures about the proper connection number of graphs

Colton Magnant, Fei Huang, Kenta Ozeki, Xueliang Li, Zhongmei Qin

arxiv:1602.07163 v3 · 2016-02-23 · 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{77QYB4JAZLX3HG4XRTNTXTMH3P}

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	2026-05-18T01:18:13.759219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe180f120caefb39b978cdb3bcd87dbeae806dfb6018394849ebecc45c7f70e

Aliases

arxiv: 1602.07163 · arxiv_version: 1602.07163v3 · doi: 10.48550/arxiv.1602.07163 · pith_short_12: 77QYB4JAZLX3 · pith_short_16: 77QYB4JAZLX3HG4X · pith_short_8: 77QYB4JA

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/77QYB4JAZLX3HG4XRTNTXTMH3P \
  | 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: ffe180f120caefb39b978cdb3bcd87dbeae806dfb6018394849ebecc45c7f70e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992bc509c84d9b7374a8b933a0797749876b1fbec560a8451b26eaec139c5c9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-23T14:23:48Z",
    "title_canon_sha256": "625140d48176d4b56f48d02224a39beba0ff5d343dc38d507cdaffc92755623a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07163",
    "kind": "arxiv",
    "version": 3
  }
}