Pith Number

pith:FSB4QBMR

pith:2016:FSB4QBMRSDAIQTG7NVHVHMAPAG

not attested not anchored not stored refs pending

Fully Dynamic Algorithm for Top-$k$ Densest Subgraphs

Aristides Gionis, Gianmarco De Francisci Morales, Muhammad Anis Uddin Nasir, Sarunas Girdzijauskas

arxiv:1610.05897 v2 · 2016-10-19 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSB4QBMRSDAIQTG7NVHVHMAPAG}

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	2026-05-18T00:36:33.072280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c83c8059190c0884cdf6d4f53b00f01849d1ff6924b35c2bb5b52eac11df472

Aliases

arxiv: 1610.05897 · arxiv_version: 1610.05897v2 · doi: 10.48550/arxiv.1610.05897 · pith_short_12: FSB4QBMRSDAI · pith_short_16: FSB4QBMRSDAIQTG7 · pith_short_8: FSB4QBMR

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/FSB4QBMRSDAIQTG7NVHVHMAPAG \
  | 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: 2c83c8059190c0884cdf6d4f53b00f01849d1ff6924b35c2bb5b52eac11df472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a536f83110f9984573730d5f5df39017581d203f755de5e53a311b495da03615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-10-19T07:44:46Z",
    "title_canon_sha256": "5d028e7f1874b77577e01bd3fd4cd0197c6c2c627de95f4b64d9a9e783584ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05897",
    "kind": "arxiv",
    "version": 2
  }
}