Pith Number

pith:Z5LVYXDK

pith:2016:Z5LVYXDK24YGZCMCDZNWAGMMUB

not attested not anchored not stored refs pending

A Note on the Area Requirement of Euclidean Greedy Embeddings of Christmas Cactus Graphs

Roman Prutkin

arxiv:1605.09244 v1 · 2016-05-30 · 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{Z5LVYXDK24YGZCMCDZNWAGMMUB}

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	2026-05-18T01:13:21.593006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf575c5c6ad7306c89821e5b60198ca04866388a65bbe099667d297b3f203219

Aliases

arxiv: 1605.09244 · arxiv_version: 1605.09244v1 · doi: 10.48550/arxiv.1605.09244 · pith_short_12: Z5LVYXDK24YG · pith_short_16: Z5LVYXDK24YGZCMC · pith_short_8: Z5LVYXDK

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/Z5LVYXDK24YGZCMCDZNWAGMMUB \
  | 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: cf575c5c6ad7306c89821e5b60198ca04866388a65bbe099667d297b3f203219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c346856d87b5c95163d92a783070cf9bd6dd549f509679a730b73b3a55e08bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-05-30T14:15:31Z",
    "title_canon_sha256": "43e50939ea3c2a9c236393a4267ba9912b1f01dd12d91634809800c1731551f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09244",
    "kind": "arxiv",
    "version": 1
  }
}