Pith Number

pith:BVLLZXVG

pith:2018:BVLLZXVGPRDKUKAJIO3XFQ6RMQ

not attested not anchored not stored refs pending

Spectral lower bounds for the orthogonal and projective ranks of a graph

Clive Elphick, Pawel Wocjan

arxiv:1806.02734 v3 · 2018-06-07 · math.CO · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVLLZXVGPRDKUKAJIO3XFQ6RMQ}

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	2026-05-17T23:51:44.123376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d56bcdea67c46aa280943b772c3d1643b9fa51c36b9501ef2344fa4f5e693d7

Aliases

arxiv: 1806.02734 · arxiv_version: 1806.02734v3 · doi: 10.48550/arxiv.1806.02734 · pith_short_12: BVLLZXVGPRDK · pith_short_16: BVLLZXVGPRDKUKAJ · pith_short_8: BVLLZXVG

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/BVLLZXVGPRDKUKAJIO3XFQ6RMQ \
  | 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: 0d56bcdea67c46aa280943b772c3d1643b9fa51c36b9501ef2344fa4f5e693d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5737aa3e6233db1e06d8d462a9d91343d83475697381f7ca8ebfdadadb6656",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-07T15:40:14Z",
    "title_canon_sha256": "ad57d36f52284f54119dd018e47a89552d84ec5f57f37d5dd53f43bb55617d6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02734",
    "kind": "arxiv",
    "version": 3
  }
}