Pith Number

pith:JGVK7SFK

pith:2016:JGVK7SFK4HTSCCG7Q26VHCFBRI

not attested not anchored not stored refs pending

Generalized Ramsey numbers through adiabatic quantum optimization

Frank Gaitan, Lane Clark, Mani Ranjbar, William G. Macready

arxiv:1606.01078 v1 · 2016-06-03 · quant-ph · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGVK7SFK4HTSCCG7Q26VHCFBRI}

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	2026-05-18T01:07:50.669470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49aaafc8aae1e72108df86bd5388a18a0ef1492f8ce8bb0ecda2e40acd7045a1

Aliases

arxiv: 1606.01078 · arxiv_version: 1606.01078v1 · doi: 10.48550/arxiv.1606.01078 · pith_short_12: JGVK7SFK4HTS · pith_short_16: JGVK7SFK4HTSCCG7 · pith_short_8: JGVK7SFK

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/JGVK7SFK4HTSCCG7Q26VHCFBRI \
  | 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: 49aaafc8aae1e72108df86bd5388a18a0ef1492f8ce8bb0ecda2e40acd7045a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce9612834479231016086144737ef31e08ca12c4e66c4b939d278c9bd3c3709",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-03T13:21:01Z",
    "title_canon_sha256": "98f942831117e019b387c891cffa587595ea55a80862d807be8490600fe06ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01078",
    "kind": "arxiv",
    "version": 1
  }
}