Pith Number

pith:TJ3VWZBC

pith:2011:TJ3VWZBCNYFROXBOARUD2WKY2B

not attested not anchored not stored refs pending

Fair Domination in Graphs

Adriana Hansberg, Michael A. Henning, Yair Caro

arxiv:1109.1150 v1 · 2011-09-06 · 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{TJ3VWZBCNYFROXBOARUD2WKY2B}

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	2026-05-18T04:14:05.247840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a775b64226e0b175c2e04683d5958d079f8306ddc21aaec259bcec71eb26e88

Aliases

arxiv: 1109.1150 · arxiv_version: 1109.1150v1 · doi: 10.48550/arxiv.1109.1150 · pith_short_12: TJ3VWZBCNYFR · pith_short_16: TJ3VWZBCNYFROXBO · pith_short_8: TJ3VWZBC

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/TJ3VWZBCNYFROXBOARUD2WKY2B \
  | 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: 9a775b64226e0b175c2e04683d5958d079f8306ddc21aaec259bcec71eb26e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b2800fd1b6f7c682a37e4376c22d6e71e0ad33be04c40e29cba99314c75bbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-06T11:43:22Z",
    "title_canon_sha256": "7159a0f42af2be850ffe640a69e9d6874cd3e696598818c41e6670ebacab123c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1150",
    "kind": "arxiv",
    "version": 1
  }
}