Pith Number

pith:PNS6DZUI

pith:2019:PNS6DZUICZUHLW7IGFWSEPK7II

not attested not anchored not stored refs pending

Independence and Matching Numbers of Unicyclic Graphs From Null Space

Daniel Alejandro Jaume, Gonzalo Molina, Luiz Emilio Allem, Maikon Machado Toledo, Vilmar Trevisan

arxiv:1907.07650 v1 · 2019-07-17 · 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{PNS6DZUICZUHLW7IGFWSEPK7II}

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	2026-05-17T23:40:21.418724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b65e1e688166875dbe8316d223d5f422fec3ab69588b52057482302d4e67178

Aliases

arxiv: 1907.07650 · arxiv_version: 1907.07650v1 · doi: 10.48550/arxiv.1907.07650 · pith_short_12: PNS6DZUICZUH · pith_short_16: PNS6DZUICZUHLW7I · pith_short_8: PNS6DZUI

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/PNS6DZUICZUHLW7IGFWSEPK7II \
  | 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: 7b65e1e688166875dbe8316d223d5f422fec3ab69588b52057482302d4e67178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64654b432cdd207861c42b5d0a214e24ba42b50c2f1307079bca90a07316155",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-17T17:25:21Z",
    "title_canon_sha256": "cb4a9b18b9fac38e6022b0dd54d89b34622fb98a55461c61f9ed70e854e78262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07650",
    "kind": "arxiv",
    "version": 1
  }
}