Pith. sign in
Pith Number

pith:D5PTPATE

pith:2022:D5PTPATE5N4FSMV45PZLPXTO4I
not attested not anchored not stored refs pending

B$_0$-VPG Representation of AT-free Outerplanar Graphs

Deepak Rajendraprasad, Sparsh Jain, Sreejith K. Pallathumadam

arxiv:2209.08269 v2 · 2022-09-17 · math.CO · cs.DM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D5PTPATE5N4FSMV45PZLPXTO4I}

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 2026-07-05T05:48:01.410292Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1f5f378264eb785932bcebf2b7de6ee20aac562772e0fdc90e141960d547850d

Aliases

arxiv: 2209.08269 · arxiv_version: 2209.08269v2 · doi: 10.48550/arxiv.2209.08269 · pith_short_12: D5PTPATE5N4F · pith_short_16: D5PTPATE5N4FSMV4 · pith_short_8: D5PTPATE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D5PTPATE5N4FSMV45PZLPXTO4I \
  | 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: 1f5f378264eb785932bcebf2b7de6ee20aac562772e0fdc90e141960d547850d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "384f3d86fb9171da8ec6e6b409199181b2be9eac35bf5c6c28718acb0dc8d552",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-17T07:22:42Z",
    "title_canon_sha256": "8c47c58a852bbc1e8423bca11aeba6ef9ded6a6e592fef8e8096297c02d5bca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08269",
    "kind": "arxiv",
    "version": 2
  }
}