Pith Number

pith:MV5QWMYR

pith:2016:MV5QWMYRC6S2H6MHINAENWTGK4

not attested not anchored not stored refs pending

Resistance distance and Kirchhoff index in the corona-vertex and the corona $-$ edge of subdivision graph

Jia-Bao Liu, Masoud Karimi, Qun Liu, Shaohui Wang

arxiv:1611.04219 v1 · 2016-11-14 · 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{MV5QWMYRC6S2H6MHINAENWTGK4}

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	2026-05-18T00:59:17.164235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

657b0b331117a5a3f987434046da665728db8f61c75c3b3c5bd3cf361c410f01

Aliases

arxiv: 1611.04219 · arxiv_version: 1611.04219v1 · doi: 10.48550/arxiv.1611.04219 · pith_short_12: MV5QWMYRC6S2 · pith_short_16: MV5QWMYRC6S2H6MH · pith_short_8: MV5QWMYR

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/MV5QWMYRC6S2H6MHINAENWTGK4 \
  | 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: 657b0b331117a5a3f987434046da665728db8f61c75c3b3c5bd3cf361c410f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d6acca4f9604efe825663b8579456aedfcb7cba01376598f07a8e3bd1cf6a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-14T01:18:34Z",
    "title_canon_sha256": "995b409e0818541e800dd60a0e06a8555abb94ffff72dbffb36bde7722d4e8f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04219",
    "kind": "arxiv",
    "version": 1
  }
}