Pith Number

pith:MPRCSN5C

pith:2015:MPRCSN5CWT6A5XFYHI27JPGRS7

not attested not anchored not stored refs pending

Partial domination - the isolation number of a graph

Adriana Hansberg, Yair Caro

arxiv:1504.08055 v1 · 2015-04-30 · 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{MPRCSN5CWT6A5XFYHI27JPGRS7}

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	2026-05-18T02:17:23.443160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e22937a2b4fc0edcb83a35f4bcd197ff97eef7146175f9c943f650f4bbf1b6

Aliases

arxiv: 1504.08055 · arxiv_version: 1504.08055v1 · doi: 10.48550/arxiv.1504.08055 · pith_short_12: MPRCSN5CWT6A · pith_short_16: MPRCSN5CWT6A5XFY · pith_short_8: MPRCSN5C

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/MPRCSN5CWT6A5XFYHI27JPGRS7 \
  | 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: 63e22937a2b4fc0edcb83a35f4bcd197ff97eef7146175f9c943f650f4bbf1b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61fd8c1c3c10c2743d91cfd3654093d0ff6e0232639a7012ff193a0f6abc241b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-30T01:25:49Z",
    "title_canon_sha256": "5ba8e9cdcccf2dc09d48af2b9ea2df25cf94249faedd35765788d8015c2d0bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08055",
    "kind": "arxiv",
    "version": 1
  }
}