Pith Number

pith:JRRKNK2A

pith:2018:JRRKNK2AXFI3IOOPDLXR7Q4BRJ

not attested not anchored not stored refs pending

Spectral lower bounds for the quantum chromatic number of a graph

Clive Elphick, Pawel Wocjan

arxiv:1805.08334 v3 · 2018-05-22 · 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{JRRKNK2AXFI3IOOPDLXR7Q4BRJ}

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	2026-05-18T00:08:30.949202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c62a6ab40b951b439cf1aef1fc3818a6aea037564845555d325d0d6b9fc148c

Aliases

arxiv: 1805.08334 · arxiv_version: 1805.08334v3 · doi: 10.48550/arxiv.1805.08334 · pith_short_12: JRRKNK2AXFI3 · pith_short_16: JRRKNK2AXFI3IOOP · pith_short_8: JRRKNK2A

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/JRRKNK2AXFI3IOOPDLXR7Q4BRJ \
  | 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: 4c62a6ab40b951b439cf1aef1fc3818a6aea037564845555d325d0d6b9fc148c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a10bf4083541430aa735fe287a873b9ec3f1f33e02ef3e683cbd5155fb630afb",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-22T00:35:42Z",
    "title_canon_sha256": "d47c69d2037b25eedb6094aff346c515e3a3004745440735bfd8730b6edd2ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08334",
    "kind": "arxiv",
    "version": 3
  }
}