Pith Number

pith:5OHOUWDN

pith:2019:5OHOUWDNLVO3UUOIQX2JR4LUNY

not attested not anchored not stored refs pending

On solving the densest $k$-subgraph problem on large graphs

Renata Sotirov

arxiv:1901.06344 v1 · 2019-01-18 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OHOUWDNLVO3UUOIQX2JR4LUNY}

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	2026-05-17T23:56:01.300081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8eea586d5d5dba51c885f498f1746e017d01e841cdd2f58d2fc38dbeae0966

Aliases

arxiv: 1901.06344 · arxiv_version: 1901.06344v1 · doi: 10.48550/arxiv.1901.06344 · pith_short_12: 5OHOUWDNLVO3 · pith_short_16: 5OHOUWDNLVO3UUOI · pith_short_8: 5OHOUWDN

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/5OHOUWDNLVO3UUOIQX2JR4LUNY \
  | 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: eb8eea586d5d5dba51c885f498f1746e017d01e841cdd2f58d2fc38dbeae0966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95103c1f44e8b7444868196679a069ff8afef806bc7ebea956ed603b9f54ee6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-18T17:07:29Z",
    "title_canon_sha256": "c0f16c65c668edfafba8be8aae34b6f542316d571a4edee8f0c4ba5c5a8f0993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06344",
    "kind": "arxiv",
    "version": 1
  }
}