Pith Number

pith:YUCPXYBX

pith:2019:YUCPXYBXIW5KSCMF43PALU2X2L

not attested not anchored not stored refs pending

On the edge-length ratio of 2-trees

Giuseppe Liotta, Ji\v{r}\'i Fiala, V\'aclav Bla\v{z}ej

arxiv:1909.11152 v3 · 2019-09-24 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUCPXYBXIW5KSCMF43PALU2X2L}

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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.

Cited by

1 paper in Pith

On the Planar Edge-Length Ratio of Planar Graphs

Receipt and verification

First computed	2026-07-05T01:28:28.812801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c504fbe03745baa90985e6de05d357d2e187f2fd37052d2c0f1dfb4fa92ee828

Aliases

arxiv: 1909.11152 · arxiv_version: 1909.11152v3 · doi: 10.48550/arxiv.1909.11152 · pith_short_12: YUCPXYBXIW5K · pith_short_16: YUCPXYBXIW5KSCMF · pith_short_8: YUCPXYBX

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/YUCPXYBXIW5KSCMF43PALU2X2L \
  | 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: c504fbe03745baa90985e6de05d357d2e187f2fd37052d2c0f1dfb4fa92ee828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bcb8e7fc4a8f4763c44bd1c3e953d1ff56288213ecf5d9fd91fcb2247039fb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2019-09-24T19:42:59Z",
    "title_canon_sha256": "f47c67148ff164018fb23c4b5c4fda62e9e95c9a9f08fc6136c22afa608f7cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.11152",
    "kind": "arxiv",
    "version": 3
  }
}