Pith Number

pith:GTFLM2BN

pith:2015:GTFLM2BNA4D5KBKF4LYBSTNCES

not attested not anchored not stored refs pending

Roman domination in graphs: the class $\mathcal{R}_\mathbf{UV R}$

Vladimir Samodivkin

arxiv:1508.02089 v1 · 2015-08-09 · 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{GTFLM2BNA4D5KBKF4LYBSTNCES}

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	2026-05-18T01:35:34.240193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34cab6682d0707d50545e2f0194da224843fd6904afb69033619cf9efd256ae5

Aliases

arxiv: 1508.02089 · arxiv_version: 1508.02089v1 · doi: 10.48550/arxiv.1508.02089 · pith_short_12: GTFLM2BNA4D5 · pith_short_16: GTFLM2BNA4D5KBKF · pith_short_8: GTFLM2BN

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/GTFLM2BNA4D5KBKF4LYBSTNCES \
  | 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: 34cab6682d0707d50545e2f0194da224843fd6904afb69033619cf9efd256ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa0cc6f90909eadedfa7b2f26467bc39f7673ddbcbd2fffea550bc635cb3bb08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-09T21:57:50Z",
    "title_canon_sha256": "cf129f385822199e00a816f36d6e50815c5d2200cd06d7b5a7c87d0ad34808f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02089",
    "kind": "arxiv",
    "version": 1
  }
}