Pith Number

pith:D4WJWA3L

pith:2017:D4WJWA3LX22GDB77U2EZ3UODNI

not attested not anchored not stored refs pending

Lower Bounds for Symbolic Computation on Graphs: Strongly Connected Components, Liveness, Safety, and Diameter

Krishnendu Chatterjee, Monika Henzinger, Veronika Loitzenbauer, Wolfgang Dvo\v{r}\'ak

arxiv:1711.09148 v1 · 2017-11-24 · 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{D4WJWA3LX22GDB77U2EZ3UODNI}

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	2026-05-18T00:29:40.443986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2c9b036bbeb46187ffa6899dd1c36a069b8b299943b420f78cac889b8c2bc6

Aliases

arxiv: 1711.09148 · arxiv_version: 1711.09148v1 · doi: 10.48550/arxiv.1711.09148 · pith_short_12: D4WJWA3LX22G · pith_short_16: D4WJWA3LX22GDB77 · pith_short_8: D4WJWA3L

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/D4WJWA3LX22GDB77U2EZ3UODNI \
  | 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: 1f2c9b036bbeb46187ffa6899dd1c36a069b8b299943b420f78cac889b8c2bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0bfe0a4c025e5081afe1f0a0ff02d31265fec8a4443895b43b3f5eccc6fb6c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-11-24T21:47:11Z",
    "title_canon_sha256": "5fec32d1323d80ecf374db3c00007ab9f4e4a195850b37ff603ffddf9d332d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09148",
    "kind": "arxiv",
    "version": 1
  }
}