Pith Number

pith:VTXAW5M6

pith:2012:VTXAW5M6BBUY45ZPEKFXYLIX4F

not attested not anchored not stored refs pending

Graph Homomorphisms for Quantum Players

David E. Roberson, Laura Man\v{c}inska

arxiv:1212.1724 v2 · 2012-12-07 · quant-ph · 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{VTXAW5M6BBUY45ZPEKFXYLIX4F}

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	2026-05-18T01:04:24.936291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acee0b759e08698e772f228b7c2d17e1462734c4fde172d6eae698b2de271348

Aliases

arxiv: 1212.1724 · arxiv_version: 1212.1724v2 · doi: 10.48550/arxiv.1212.1724 · pith_short_12: VTXAW5M6BBUY · pith_short_16: VTXAW5M6BBUY45ZP · pith_short_8: VTXAW5M6

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/VTXAW5M6BBUY45ZPEKFXYLIX4F \
  | 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: acee0b759e08698e772f228b7c2d17e1462734c4fde172d6eae698b2de271348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0579182addcbe8c6223fa6f7aa04866239e069d8ba0ca44bd1a7be9017769282",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-07T21:12:33Z",
    "title_canon_sha256": "d7f68c8c3997179ff951b648ca24824005a3080f7187f1c900bafe79d5a7152c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1724",
    "kind": "arxiv",
    "version": 2
  }
}