Pith Number

pith:UL3BKJ4X

pith:2016:UL3BKJ4XDS7SBZHBRERWUCYCK5

not attested not anchored not stored refs pending

Dynamic Spanning Forest with Worst-Case Update Time: Adaptive, Las Vegas, and $O(n^{1/2-\epsilon})$-Time

Danupon Nanongkai, Thatchaphol Saranurak

arxiv:1611.03745 v2 · 2016-11-11 · 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{UL3BKJ4XDS7SBZHBRERWUCYCK5}

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	2026-05-18T00:46:13.879151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f61527971cbf20e4e189236a0b02574b12c8f9a0f948b38b63de0fd5866e57

Aliases

arxiv: 1611.03745 · arxiv_version: 1611.03745v2 · doi: 10.48550/arxiv.1611.03745 · pith_short_12: UL3BKJ4XDS7S · pith_short_16: UL3BKJ4XDS7SBZHB · pith_short_8: UL3BKJ4X

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/UL3BKJ4XDS7SBZHBRERWUCYCK5 \
  | 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: a2f61527971cbf20e4e189236a0b02574b12c8f9a0f948b38b63de0fd5866e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f50232ec9316637e0918f571402088d7769edc9dcda8f4af03abbdb4fa953b7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-11T15:33:46Z",
    "title_canon_sha256": "f1eee4ad6e483037872e89df86dcbd9edea3ca39253f5d90e96a026fe20c61e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03745",
    "kind": "arxiv",
    "version": 2
  }
}