Pith Number

pith:PKXJBTYY

pith:2019:PKXJBTYYD3O5BMCBVX2MLKX7WF

not attested not anchored not stored refs pending

The Densest k Subgraph Problem in b-Outerplanar Graphs

Sean Gonzales, Theresa Migler

arxiv:1907.03863 v1 · 2019-07-08 · 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{PKXJBTYYD3O5BMCBVX2MLKX7WF}

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	2026-05-17T23:41:06.544734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aae90cf181eddd0b041adf4c5aaffb16352c1f1b8de15c9178a10d0f98057e7

Aliases

arxiv: 1907.03863 · arxiv_version: 1907.03863v1 · doi: 10.48550/arxiv.1907.03863 · pith_short_12: PKXJBTYYD3O5 · pith_short_16: PKXJBTYYD3O5BMCB · pith_short_8: PKXJBTYY

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/PKXJBTYYD3O5BMCBVX2MLKX7WF \
  | 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: 7aae90cf181eddd0b041adf4c5aaffb16352c1f1b8de15c9178a10d0f98057e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb60f02c3f0356a80bc4995282ceaa4ad56baf95fa9ac4b12f25a4a596b4e76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-07-08T20:45:56Z",
    "title_canon_sha256": "3eba0b6227d5369af6ddf5364a2c6843ae28a2e7594a3db98df2587e5b287a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03863",
    "kind": "arxiv",
    "version": 1
  }
}