Pith Number

pith:KNV6GWZW

pith:2013:KNV6GWZWD42RYFOGQ26YPXXLAP

not attested not anchored not stored refs pending

Median eigenvalues of bipartite subcubic graphs

Bojan Mohar

arxiv:1309.7395 v1 · 2013-09-28 · 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{KNV6GWZWD42RYFOGQ26YPXXLAP}

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.

Cited by

2 papers in Pith

Free-Fermion Subsystem Codes

Subcubic graphs without eigenvalues in $(-1, 1)$

Receipt and verification

First computed	2026-05-18T01:09:38.338097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536be35b361f351c15c686bd87deeb03e0d7670e766a20f0d11bb942b8ad20d2

Aliases

arxiv: 1309.7395 · arxiv_version: 1309.7395v1 · doi: 10.48550/arxiv.1309.7395 · pith_short_12: KNV6GWZWD42R · pith_short_16: KNV6GWZWD42RYFOG · pith_short_8: KNV6GWZW

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/KNV6GWZWD42RYFOGQ26YPXXLAP \
  | 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: 536be35b361f351c15c686bd87deeb03e0d7670e766a20f0d11bb942b8ad20d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db211ca441694facb7076e23109e71e20b8ff17378edf6b058fd5768beab7bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-28T00:44:01Z",
    "title_canon_sha256": "fe85728bf1a9af656d00273e66145d30a5419eeae9a819681c82680806fb866c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7395",
    "kind": "arxiv",
    "version": 1
  }
}