Pith Number

pith:FMJF5API

pith:2013:FMJF5APINSUMN6PNCJB6TPSKQ5

not attested not anchored not stored refs pending

The Kirchhoff indices and the matching numbers of unicyclic graphs

Bo Zhou, Xuli Qi, Zhibin Du

arxiv:1304.7546 v1 · 2013-04-29 · 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{FMJF5APINSUMN6PNCJB6TPSKQ5}

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	2026-05-18T00:51:03.618227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b125e81e86ca8c6f9ed1243e9be4a876f12df4e3b3f99c9a25e9efe07d7c411

Aliases

arxiv: 1304.7546 · arxiv_version: 1304.7546v1 · doi: 10.48550/arxiv.1304.7546 · pith_short_12: FMJF5APINSUM · pith_short_16: FMJF5APINSUMN6PN · pith_short_8: FMJF5API

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/FMJF5APINSUMN6PNCJB6TPSKQ5 \
  | 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: 2b125e81e86ca8c6f9ed1243e9be4a876f12df4e3b3f99c9a25e9efe07d7c411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2652a528c16a8fbfd5c171d1d351c15d5ebc81adcd8c7ee2ae79222273e69e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-29T01:17:46Z",
    "title_canon_sha256": "02865c59079c31c156ec911ad4b209d21ec246c8b8e1792f8f61578e262a64d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7546",
    "kind": "arxiv",
    "version": 1
  }
}