Pith Number

pith:DQPQZK5M

pith:2018:DQPQZK5MZMERCOUF2OQXDNOKEY

not attested not anchored not stored refs pending

An inertial upper bound for the quantum independence number of a graph

Clive Elphick, Pawel Wocjan

arxiv:1808.10820 v4 · 2018-08-31 · 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{DQPQZK5MZMERCOUF2OQXDNOKEY}

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	2026-05-17T23:58:55.930810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c1f0cabaccb09113a85d3a171b5ca260807ca1200b1cab0bcf4b536d1a4b191

Aliases

arxiv: 1808.10820 · arxiv_version: 1808.10820v4 · doi: 10.48550/arxiv.1808.10820 · pith_short_12: DQPQZK5MZMER · pith_short_16: DQPQZK5MZMERCOUF · pith_short_8: DQPQZK5M

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/DQPQZK5MZMERCOUF2OQXDNOKEY \
  | 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: 1c1f0cabaccb09113a85d3a171b5ca260807ca1200b1cab0bcf4b536d1a4b191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03ba5e7aea347319236fa8a9c28488bfafbbc24f695c1b5741b7f8fd8f0ab0f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-31T15:53:57Z",
    "title_canon_sha256": "b73060aef5e06da21b3c6639375ee4f6f0151f8b9541392a85fc51ba2dcd61e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10820",
    "kind": "arxiv",
    "version": 4
  }
}