Pith Number

pith:MNNT3NP5

pith:2026:MNNT3NP5MAQQHBQK2XN4KJIBNL

not attested not anchored not stored refs pending

Impartial geodetic removing games on graphs

Bret J. Benesh, Dana C. Ernst, Marie Meyer, Nandor Sieben, Sarah K. Salmon

arxiv:2606.05483 v1 · 2026-06-03 · 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{MNNT3NP5MAQQHBQK2XN4KJIBNL}

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	2026-06-05T01:14:52.593606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635b3db5fd602103860ad5dbc525016af855e1a2a3aefecb4004715f7a2c72c1

Aliases

arxiv: 2606.05483 · arxiv_version: 2606.05483v1 · doi: 10.48550/arxiv.2606.05483 · pith_short_12: MNNT3NP5MAQQ · pith_short_16: MNNT3NP5MAQQHBQK · pith_short_8: MNNT3NP5

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/MNNT3NP5MAQQHBQK2XN4KJIBNL \
  | 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: 635b3db5fd602103860ad5dbc525016af855e1a2a3aefecb4004715f7a2c72c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae175612e2fd1e7b6543367fe9f125a5be985ea7138357c7a227dfe7147159c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-03T22:06:09Z",
    "title_canon_sha256": "f6c69e3dac7c063a77c686c4e92295c75a02a32542c087dfecfe254bf10e098d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05483",
    "kind": "arxiv",
    "version": 1
  }
}