Pith Number

pith:PURH3PAN

pith:2013:PURH3PANSLZYERL5VZ6GTVIFAN

not attested not anchored not stored refs pending

Spectra of the subdivision-vertex and subdivision-edge coronae

Pengli Lu, Yufang Miao

arxiv:1302.0457 v2 · 2013-02-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PURH3PANSLZYERL5VZ6GTVIFAN}

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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

Spectra of Subdivision Products of Digraphs

Receipt and verification

First computed	2026-05-18T03:17:24.591090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d227dbc0d92f382457dae7c69d5050359cb113f0ea902d0dfb9a5ac175e5daa

Aliases

arxiv: 1302.0457 · arxiv_version: 1302.0457v2 · doi: 10.48550/arxiv.1302.0457 · pith_short_12: PURH3PANSLZY · pith_short_16: PURH3PANSLZYERL5 · pith_short_8: PURH3PAN

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/PURH3PANSLZYERL5VZ6GTVIFAN \
  | 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: 7d227dbc0d92f382457dae7c69d5050359cb113f0ea902d0dfb9a5ac175e5daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec21abdcd3d74d740bc5c375bffccd111559e9a4d4d72c00ccc87b3ac821e2f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-03T05:33:41Z",
    "title_canon_sha256": "79c81ea07e4f053c7c1b17d4c20068d0b835c454be687108df9925a7984c4389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0457",
    "kind": "arxiv",
    "version": 2
  }
}