Pith Number

pith:GSVLXO6S

pith:2012:GSVLXO6SQ55MK5DKDMTFUUUVX3

not attested not anchored not stored refs pending

A connection between the bipartite complements of line graphs and the line graphs with two positive eigenvalues

Lee Gumbrell

arxiv:1204.2981 v1 · 2012-04-13 · 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{GSVLXO6SQ55MK5DKDMTFUUUVX3}

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	2026-05-18T03:57:54.328286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34aabbbbd2877ac5746a1b265a5295bed0c5cc177b8e76578bdfda386faeb711

Aliases

arxiv: 1204.2981 · arxiv_version: 1204.2981v1 · doi: 10.48550/arxiv.1204.2981 · pith_short_12: GSVLXO6SQ55M · pith_short_16: GSVLXO6SQ55MK5DK · pith_short_8: GSVLXO6S

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/GSVLXO6SQ55MK5DKDMTFUUUVX3 \
  | 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: 34aabbbbd2877ac5746a1b265a5295bed0c5cc177b8e76578bdfda386faeb711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee17d33acb18573534e749b4b6bb385735ea4ce4b4183f76e939a18cc25e381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-13T13:11:15Z",
    "title_canon_sha256": "4682701027b151c3cc63d165829e59d5217b11dc2eedbf7872d94ded02e0ab24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2981",
    "kind": "arxiv",
    "version": 1
  }
}