Pith Number

pith:O3V5FMLU

pith:2017:O3V5FMLULULBLHNLUAR5XN3OJT

not attested not anchored not stored refs pending

Roman domination: changing, unchanging, $\gamma_R$-graphs

Vladimir Samodivkin

arxiv:1709.05052 v1 · 2017-09-15 · 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{O3V5FMLULULBLHNLUAR5XN3OJT}

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	2026-05-18T00:35:06.834272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ebd2b1745d16159daba023dbb76e4ce1b1390e8b9fbbadf6e0eb6f33da79bd

Aliases

arxiv: 1709.05052 · arxiv_version: 1709.05052v1 · doi: 10.48550/arxiv.1709.05052 · pith_short_12: O3V5FMLULULB · pith_short_16: O3V5FMLULULBLHNL · pith_short_8: O3V5FMLU

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/O3V5FMLULULBLHNLUAR5XN3OJT \
  | 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: 76ebd2b1745d16159daba023dbb76e4ce1b1390e8b9fbbadf6e0eb6f33da79bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34c3212a41aa092fe09dd9b735ec9cc24fdf4e7020b1ecddfb83aecb4b8d9096",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-15T04:11:08Z",
    "title_canon_sha256": "c561bc52617a0baa9373aa325babded9839000d32ea94c40a2e43d52a82b6895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05052",
    "kind": "arxiv",
    "version": 1
  }
}