Pith Number

pith:4CXWOO4T

pith:2019:4CXWOO4T5UYK3NEOMYHFJRBHDM

not attested not anchored not stored refs pending

Existence of quantum symmetries for graphs on up to seven vertices: a computer based approach

Andreas Steenpass, Christian Eder, Julien Schanz, Moritz Weber, Simon Schmidt, Viktor Levandovskyy

arxiv:1906.12097 v1 · 2019-06-28 · math.QA · 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{4CXWOO4T5UYK3NEOMYHFJRBHDM}

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	2026-05-17T23:41:59.279350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0af673b93ed30adb48e660e54c4271b3a7149667a74c54634dc4bb4f915be2c

Aliases

arxiv: 1906.12097 · arxiv_version: 1906.12097v1 · doi: 10.48550/arxiv.1906.12097 · pith_short_12: 4CXWOO4T5UYK · pith_short_16: 4CXWOO4T5UYK3NEO · pith_short_8: 4CXWOO4T

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/4CXWOO4T5UYK3NEOMYHFJRBHDM \
  | 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: e0af673b93ed30adb48e660e54c4271b3a7149667a74c54634dc4bb4f915be2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c8d9353a8e9c085ff4bc8674183c63d7480c9012b7308055e24111390f4e1f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-06-28T08:52:47Z",
    "title_canon_sha256": "2180abc0e643e6b0db5231f1787ddb972a908dc51b2608d026180bba9126ce0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12097",
    "kind": "arxiv",
    "version": 1
  }
}