Pith Number

pith:ZQBB2PCX

pith:2019:ZQBB2PCXZ5EFXSVLVE2L5KYEEI

not attested not anchored not stored refs pending

Approximating APSP without Scaling: Equivalence of Approximate Min-Plus and Exact Min-Max

Karl Bringmann, Karol W\k{e}grzycki, Marvin K\"unnemann

arxiv:1907.11078 v1 · 2019-07-25 · cs.DS · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQBB2PCXZ5EFXSVLVE2L5KYEEI}

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	2026-05-17T23:39:33.548814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc021d3c57cf485bcaaba934beab04223dc69ee3880ee888c9374d499e5fb0ef

Aliases

arxiv: 1907.11078 · arxiv_version: 1907.11078v1 · doi: 10.48550/arxiv.1907.11078 · pith_short_12: ZQBB2PCXZ5EF · pith_short_16: ZQBB2PCXZ5EFXSVL · pith_short_8: ZQBB2PCX

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/ZQBB2PCXZ5EFXSVLVE2L5KYEEI \
  | 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: cc021d3c57cf485bcaaba934beab04223dc69ee3880ee888c9374d499e5fb0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b9bb0f5ddfb14811a92ee6c26d4ec49ed3d260bd903d366c0426e7b3922826",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-07-25T14:14:06Z",
    "title_canon_sha256": "09c93762d198477ed0d3ae33ced39f3ecd5cc12b4e9f4abef21b4d18cf006414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11078",
    "kind": "arxiv",
    "version": 1
  }
}