Pith Number

pith:FFQZASDS

pith:2015:FFQZASDSQ2Z7PW55WNLHUFXCXU

not attested not anchored not stored refs pending

ETH Hardness for Densest-$k$-Subgraph with Perfect Completeness

Aviad Rubinstein, Mark Braverman, Omri Weinstein, Young Kun Ko

arxiv:1504.08352 v1 · 2015-04-30 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFQZASDSQ2Z7PW55WNLHUFXCXU}

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	2026-05-18T02:17:22.313349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296190487286b3f7dbbdb3567a16e2bd106543682e6cbfe48e482c3d9ebef6cf

Aliases

arxiv: 1504.08352 · arxiv_version: 1504.08352v1 · doi: 10.48550/arxiv.1504.08352 · pith_short_12: FFQZASDSQ2Z7 · pith_short_16: FFQZASDSQ2Z7PW55 · pith_short_8: FFQZASDS

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/FFQZASDSQ2Z7PW55WNLHUFXCXU \
  | 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: 296190487286b3f7dbbdb3567a16e2bd106543682e6cbfe48e482c3d9ebef6cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7701efe39eb67556866173fd72b0b8c6cfeddfe8b073f8db8523c788c52b504d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-04-30T19:31:16Z",
    "title_canon_sha256": "2077dde6f110e4e9ade69e5e5b0e2cec53302db33353234b2435fde47a1fb2cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08352",
    "kind": "arxiv",
    "version": 1
  }
}