Pith Number

pith:CBUSVNR4

pith:2026:CBUSVNR4SJF2LVQ7E2OPXVPKHF

not attested not anchored not stored refs pending

Multiset resolvability parameters in graphs: A survey with new results and open problems

Dorota Kuziak, Ismael G. Yero, Mohammad Farhan, Sandi Klav\v{z}ar

arxiv:2607.10311 v1 · 2026-07-11 · 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{CBUSVNR4SJF2LVQ7E2OPXVPKHF}

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	2026-07-14T01:21:08.885048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10692ab63c924ba5d61f269cfbd5ea3950a2cee76ff4d652fd2d9cdfacc15df1

Aliases

arxiv: 2607.10311 · arxiv_version: 2607.10311v1 · doi: 10.48550/arxiv.2607.10311 · pith_short_12: CBUSVNR4SJF2 · pith_short_16: CBUSVNR4SJF2LVQ7 · pith_short_8: CBUSVNR4

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/CBUSVNR4SJF2LVQ7E2OPXVPKHF \
  | 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: 10692ab63c924ba5d61f269cfbd5ea3950a2cee76ff4d652fd2d9cdfacc15df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba2188e6f836d0d364aab0c12da4fa83908738da73e62eadb9ba6fbab9d45cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-11T13:34:43Z",
    "title_canon_sha256": "413cfa7739cebdbf0c3ee192fa1215f1fae523b55ac279e36267217a42eece88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10311",
    "kind": "arxiv",
    "version": 1
  }
}