Pith Number

pith:PKXX3A2W

pith:2025:PKXX3A2WWLNMDYXEEWGWE5KD2N

not attested not anchored not stored refs pending

Local (Outer) Multiset Dimensions of Graphs

M. Ali Hasan, Muhung Anggarawan, Rinovia Simanjuntak

arxiv:2507.15071 v1 · 2025-07-20 · 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{PKXX3A2WWLNMDYXEEWGWE5KD2N}

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

1 paper in Pith

A Survey on Multiset Dimension and Its Variations

Receipt and verification

First computed	2026-07-05T11:40:18.057496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aaf7d8356b2dac1e2e4258d627543d35652fe76a1ff5f96bda25138875c214f

Aliases

arxiv: 2507.15071 · arxiv_version: 2507.15071v1 · doi: 10.48550/arxiv.2507.15071 · pith_short_12: PKXX3A2WWLNM · pith_short_16: PKXX3A2WWLNMDYXE · pith_short_8: PKXX3A2W

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/PKXX3A2WWLNMDYXEEWGWE5KD2N \
  | 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: 7aaf7d8356b2dac1e2e4258d627543d35652fe76a1ff5f96bda25138875c214f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97988328eee8f0b20403a90a96f9c6a98fa61828859a895b680d402d332cf72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-20T18:08:58Z",
    "title_canon_sha256": "730201de61388d911229d3453d0b252fcbde06c56b6b7efdcc14f381dda9d1d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15071",
    "kind": "arxiv",
    "version": 1
  }
}