Pith Number

pith:CGUNJS7Y

pith:2012:CGUNJS7YHGVYBB523TAQRW3WV5

not attested not anchored not stored refs pending

On the Concentration of the Domination Number of the Random Graph

Anita Liebenau, Roman Glebov, Tibor Szab\'o

arxiv:1209.3115 v4 · 2012-09-14 · 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{CGUNJS7YHGVYBB523TAQRW3WV5}

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	2026-05-18T02:23:35.762601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a8d4cbf839ab8087badcc108db76af4bbc9f70cc7c774eaefcb1442daab2d8

Aliases

arxiv: 1209.3115 · arxiv_version: 1209.3115v4 · doi: 10.48550/arxiv.1209.3115 · pith_short_12: CGUNJS7YHGVY · pith_short_16: CGUNJS7YHGVYBB52 · pith_short_8: CGUNJS7Y

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/CGUNJS7YHGVYBB523TAQRW3WV5 \
  | 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: 11a8d4cbf839ab8087badcc108db76af4bbc9f70cc7c774eaefcb1442daab2d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9741ec013b40dfb6ccd3ee52056e03e9a5fce14afc5a22291a81d2642f79755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-14T07:57:41Z",
    "title_canon_sha256": "7dda4ee0f61c6ecd60d228b2fd8a5cff4e1923a6ee5e9edfd33b8ac46be25781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3115",
    "kind": "arxiv",
    "version": 4
  }
}