Pith Number

pith:DHXH6LKZ

pith:2016:DHXH6LKZNATVOL7QQQH4ADBRWK

not attested not anchored not stored refs pending

Fully Dynamic Connectivity in $O(\log n(\log\log n)^2)$ Amortized Expected Time

Dawei Huang, Mikkel Thorup, Seth Pettie, Shang-En Huang, Tsvi Kopelowitz

arxiv:1609.05867 v4 · 2016-09-19 · 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{DHXH6LKZNATVOL7QQQH4ADBRWK}

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	2026-07-05T07:44:37.638215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ee7f2d596827572ff0840fc00c31b29001ca23ce01048adaf8bb3298b86dd8

Aliases

arxiv: 1609.05867 · arxiv_version: 1609.05867v4 · doi: 10.48550/arxiv.1609.05867 · pith_short_12: DHXH6LKZNATV · pith_short_16: DHXH6LKZNATVOL7Q · pith_short_8: DHXH6LKZ

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/DHXH6LKZNATVOL7QQQH4ADBRWK \
  | 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: 19ee7f2d596827572ff0840fc00c31b29001ca23ce01048adaf8bb3298b86dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a99380e4efa9fdaecb82d4d747e281dfe8c73e3165e3f21b48228e2d1e14c210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-09-19T18:56:06Z",
    "title_canon_sha256": "49b064efda555243c11b9c114dc9f79dbf6d38800ad4577dec8f6bc61d9e4025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05867",
    "kind": "arxiv",
    "version": 4
  }
}