Pith Number

pith:57TB6XIT

pith:2012:57TB6XITNRDM76UQJM7TFKI7DW

not attested not anchored not stored refs pending

Nordhaus-Gaddum bounds for locating domination

C. Hernando, I. M. Pelayo, M. Mora

arxiv:1207.2142 v2 · 2012-07-09 · 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{57TB6XITNRDM76UQJM7TFKI7DW}

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	2026-05-18T03:49:59.454241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe61f5d136c46cffa904b3f32a91f1d8d30a3c234f1c9749a5198179134ecd2

Aliases

arxiv: 1207.2142 · arxiv_version: 1207.2142v2 · doi: 10.48550/arxiv.1207.2142 · pith_short_12: 57TB6XITNRDM · pith_short_16: 57TB6XITNRDM76UQ · pith_short_8: 57TB6XIT

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/57TB6XITNRDM76UQJM7TFKI7DW \
  | 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: efe61f5d136c46cffa904b3f32a91f1d8d30a3c234f1c9749a5198179134ecd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020ce871ec1a138cd00935250b74b9b3459a9c0a1d455a7461e415362289683c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-09T19:57:13Z",
    "title_canon_sha256": "2b08f20f28737fc9d06071455147b62e95436f629b8325978d713cffa4f7db5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2142",
    "kind": "arxiv",
    "version": 2
  }
}