Pith Number

pith:LCTJB7NR

pith:2013:LCTJB7NRHW7IVYQMAEOV35A6UR

not attested not anchored not stored refs pending

Dynamic Approximate All-Pairs Shortest Paths: Breaking the O(mn) Barrier and Derandomization

Danupon Nanongkai, Monika Henzinger, Sebastian Krinninger

arxiv:1308.0776 v2 · 2013-08-04 · 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{LCTJB7NRHW7IVYQMAEOV35A6UR}

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	2026-05-18T00:22:16.668261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a690fdb13dbe8ae20c011d5df41ea4764df61f1335120415f5090d12861f24

Aliases

arxiv: 1308.0776 · arxiv_version: 1308.0776v2 · doi: 10.48550/arxiv.1308.0776 · pith_short_12: LCTJB7NRHW7I · pith_short_16: LCTJB7NRHW7IVYQM · pith_short_8: LCTJB7NR

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/LCTJB7NRHW7IVYQMAEOV35A6UR \
  | 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: 58a690fdb13dbe8ae20c011d5df41ea4764df61f1335120415f5090d12861f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7afa1a96f45136216a0b0706eb8702f8567c1e97d179959ad61b019740321e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-08-04T04:11:38Z",
    "title_canon_sha256": "2b724abbe7ce6ab1d3a3be4b1a6969df889041a15e354a2879229f1c225ea32c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0776",
    "kind": "arxiv",
    "version": 2
  }
}