Pith Number

pith:6RVCGUE2

pith:2016:6RVCGUE2WCKMLUBBLL4XI7DE7N

not attested not anchored not stored refs pending

Connectivity, toughness, spanning trees of bounded degree, and the spectrum of regular graphs

Sebastian M. Cioab\u{a}, Xiaofeng Gu

arxiv:1602.05922 v1 · 2016-02-18 · math.CO · 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{6RVCGUE2WCKMLUBBLL4XI7DE7N}

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	2026-05-18T01:20:22.872986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f46a23509ab094c5d0215af9747c64fb7d1ff78e132a33616e1b7831126a07ad

Aliases

arxiv: 1602.05922 · arxiv_version: 1602.05922v1 · doi: 10.48550/arxiv.1602.05922 · pith_short_12: 6RVCGUE2WCKM · pith_short_16: 6RVCGUE2WCKMLUBB · pith_short_8: 6RVCGUE2

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/6RVCGUE2WCKMLUBBLL4XI7DE7N \
  | 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: f46a23509ab094c5d0215af9747c64fb7d1ff78e132a33616e1b7831126a07ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb49d8b66fa050470955006bf850f4c389c8f33b9534c09f384374b016dccb0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-18T19:44:37Z",
    "title_canon_sha256": "fbc3826846e34158ce10bbfd105e57505ece699efbfb4eb1cf2b8af660cfa213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05922",
    "kind": "arxiv",
    "version": 1
  }
}