Pith Number

pith:BMPRVU5S

pith:2015:BMPRVU5SBQLE7T25XO4TJJEFWT

not attested not anchored not stored refs pending

A characterization of some graphs with metric dimension two

Akbar Davoodi, Ali Behtoei, Behnaz Omoomi, Mohsen Jannesari

arxiv:1509.02129 v1 · 2015-09-07 · 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{BMPRVU5SBQLE7T25XO4TJJEFWT}

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	2026-05-18T01:33:49.675884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b1f1ad3b20c164fcf5dbbb934a485b4d9a17bc22ccb2a74e40fddfefa2ebdb5

Aliases

arxiv: 1509.02129 · arxiv_version: 1509.02129v1 · doi: 10.48550/arxiv.1509.02129 · pith_short_12: BMPRVU5SBQLE · pith_short_16: BMPRVU5SBQLE7T25 · pith_short_8: BMPRVU5S

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/BMPRVU5SBQLE7T25XO4TJJEFWT \
  | 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: 0b1f1ad3b20c164fcf5dbbb934a485b4d9a17bc22ccb2a74e40fddfefa2ebdb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da444c266f1055611d7dc7119c11d92b2a693d74a2daef9c40493a586128d4ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-07T17:18:17Z",
    "title_canon_sha256": "f3fb601329177c99056bc603c8e5054c5dc295319c67040de766938b3825cb34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02129",
    "kind": "arxiv",
    "version": 1
  }
}