Pith Number

pith:X5NNGAHI

pith:2019:X5NNGAHI2JKFHX4PO4MT7KZZDG

not attested not anchored not stored refs pending

Shortest Path Centrality and the APSP problem via VC-dimension and Rademacher Averages

Alane M. de Lima, Andr\'e L. Vignatti, Murilo V. G. da Silva

arxiv:1911.13144 v4 · 2019-11-29 · 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{X5NNGAHI2JKFHX4PO4MT7KZZDG}

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	2026-07-05T01:00:14.804665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5ad300e8d25453df8f77193fab3919bbdbb490957edaeb1764a9b0337314bf

Aliases

arxiv: 1911.13144 · arxiv_version: 1911.13144v4 · doi: 10.48550/arxiv.1911.13144 · pith_short_12: X5NNGAHI2JKF · pith_short_16: X5NNGAHI2JKFHX4P · pith_short_8: X5NNGAHI

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/X5NNGAHI2JKFHX4PO4MT7KZZDG \
  | 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: bf5ad300e8d25453df8f77193fab3919bbdbb490957edaeb1764a9b0337314bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4299866ff23f6c3d9094ddfc3e6bbe7a173da082ab0005c12095ae8f3f4050df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-11-29T15:12:27Z",
    "title_canon_sha256": "e57e84a526d7f030df9213bedb2eac550de9564a27e0abf1b9f9dcfef488ee3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.13144",
    "kind": "arxiv",
    "version": 4
  }
}