Pith Number

pith:BIXMD2W3

pith:2017:BIXMD2W32TWPMT6XO6Z6VXQS2K

not attested not anchored not stored refs pending

The multiset dimension of graphs

Presli Siagian, Rinovia Simanjuntak, Tomas Vetrik

arxiv:1711.00225 v2 · 2017-11-01 · 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{BIXMD2W32TWPMT6XO6Z6VXQS2K}

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.

Cited by

3 papers in Pith

A Survey on Multiset Dimension and Its Variations

Multiset Partition Dimension of Graphs

Complexity and equivalency of multiset dimension and ID-colorings

Receipt and verification

First computed	2026-07-05T00:03:53.266689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a2ec1eadbd4ecf64fd777b3eade12d286a2f29027b689a0bc1394323f99ccba

Aliases

arxiv: 1711.00225 · arxiv_version: 1711.00225v2 · doi: 10.48550/arxiv.1711.00225 · pith_short_12: BIXMD2W32TWP · pith_short_16: BIXMD2W32TWPMT6X · pith_short_8: BIXMD2W3

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/BIXMD2W32TWPMT6XO6Z6VXQS2K \
  | 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: 0a2ec1eadbd4ecf64fd777b3eade12d286a2f29027b689a0bc1394323f99ccba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdb9b64a53e774983e65ab16bb4b061a4826ed2d706f6c3ec08c111ea70d49d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-01T07:01:49Z",
    "title_canon_sha256": "f26c353763fab802a4767ba9f6914b1cdc1451bf8af4499dda00762396504a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00225",
    "kind": "arxiv",
    "version": 2
  }
}