Pith Number

pith:CWBXHGSL

pith:2020:CWBXHGSLRH3TMUPH2T4V46FMC3

not attested not anchored not stored refs pending

Fully-Dynamic All-Pairs Shortest Paths: Improved Worst-Case Time and Space Bounds

Christian Wulff-Nilsen, Maximilian Probst Gutenberg

arxiv:2001.10801 v2 · 2020-01-29 · 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{CWBXHGSLRH3TMUPH2T4V46FMC3}

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	2026-07-05T00:42:22.886203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1583739a4b89f73651e7d4f95e78ac16cb94701bad5a7162a099faa5a6e67797

Aliases

arxiv: 2001.10801 · arxiv_version: 2001.10801v2 · doi: 10.48550/arxiv.2001.10801 · pith_short_12: CWBXHGSLRH3T · pith_short_16: CWBXHGSLRH3TMUPH · pith_short_8: CWBXHGSL

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/CWBXHGSLRH3TMUPH2T4V46FMC3 \
  | 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: 1583739a4b89f73651e7d4f95e78ac16cb94701bad5a7162a099faa5a6e67797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b5e6d495b396202f94af883db7866a46e2724d4170af56b8a74c4e49893532",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-01-29T13:16:15Z",
    "title_canon_sha256": "10ca57d3e93d93008454db7e429313c8d94233e9a840a984cd2260a372cd7807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.10801",
    "kind": "arxiv",
    "version": 2
  }
}