Pith Number

pith:NA2GWSUK

pith:2026:NA2GWSUKS6MNANWVENZG5B77GI

not attested not anchored not stored refs pending

A Near-Optimal Offline Algorithm for Dynamic All-Pairs Shortest Paths in Planar Digraphs

Christian Wulff-Nilsen, Debarati Das, Maximilian Probst Gutenberg

arxiv:2606.01809 v1 · 2026-06-01 · 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{NA2GWSUKS6MNANWVENZG5B77GI}

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	2026-06-02T02:04:57.465513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68346b4a8a9798d036d523726e87ff3214cf46d72e4388fa1542f2bb68e896a7

Aliases

arxiv: 2606.01809 · arxiv_version: 2606.01809v1 · doi: 10.48550/arxiv.2606.01809 · pith_short_12: NA2GWSUKS6MN · pith_short_16: NA2GWSUKS6MNANWV · pith_short_8: NA2GWSUK

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/NA2GWSUKS6MNANWVENZG5B77GI \
  | 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: 68346b4a8a9798d036d523726e87ff3214cf46d72e4388fa1542f2bb68e896a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994747e4623b877f86146cc751222317bbf9066dfa2af5051471cbc3c1095b48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-01T07:27:10Z",
    "title_canon_sha256": "ff7883262935997b879fa13dad9afa288dae6559bbf1e8de158b7a881c374bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01809",
    "kind": "arxiv",
    "version": 1
  }
}