Pith Number

pith:6XSWVLC3

pith:2021:6XSWVLC36JU6ZBTL6WS7LB3F2W

not attested not anchored not stored refs pending

Improved bounds on a generalization of Tuza's conjecture

Abdul Basit, Daniel McGinnis, Henry Simmons, Matt Sinnwell, Shira Zerbib

arxiv:2110.10095 v3 · 2021-10-19 · 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{6XSWVLC36JU6ZBTL6WS7LB3F2W}

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	2026-07-05T05:09:13.466680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e56aac5bf269ec866bf5a5f58765d58238c2c3a56e5706d71184cc18567449

Aliases

arxiv: 2110.10095 · arxiv_version: 2110.10095v3 · doi: 10.48550/arxiv.2110.10095 · pith_short_12: 6XSWVLC36JU6 · pith_short_16: 6XSWVLC36JU6ZBTL · pith_short_8: 6XSWVLC3

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/6XSWVLC36JU6ZBTL6WS7LB3F2W \
  | 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: f5e56aac5bf269ec866bf5a5f58765d58238c2c3a56e5706d71184cc18567449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb538bf9dbaec3c73ca34444fc382c1e3756233827e81bb25c0b911d093d3fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-19T16:48:24Z",
    "title_canon_sha256": "eefa8947c0fa41988a9f6ecf492fa8fba8ab34fd4a62b22ee1c33c085d29af08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.10095",
    "kind": "arxiv",
    "version": 3
  }
}