Pith Number

pith:Q6KQ2ZVO

pith:2016:Q6KQ2ZVOGVVDPL6IVGBEDVS77Y

not attested not anchored not stored refs pending

Orbit equivalence of graphs and isomorphism of graph groupoids

Marius Lie Winger, Toke Meier Carlsen

arxiv:1610.09942 v3 · 2016-10-31 · math.DS · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q6KQ2ZVOGVVDPL6IVGBEDVS77Y}

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	2026-05-18T00:04:05.318780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87950d66ae356a37afc8a98241d65ffe0a4074d3673ddc7109a5f7a08f4026ae

Aliases

arxiv: 1610.09942 · arxiv_version: 1610.09942v3 · doi: 10.48550/arxiv.1610.09942 · pith_short_12: Q6KQ2ZVOGVVD · pith_short_16: Q6KQ2ZVOGVVDPL6I · pith_short_8: Q6KQ2ZVO

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/Q6KQ2ZVOGVVDPL6IVGBEDVS77Y \
  | 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: 87950d66ae356a37afc8a98241d65ffe0a4074d3673ddc7109a5f7a08f4026ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d30206bb07fd75786924cc60b3c357d1a57a14e8c5d9413440986589853b050",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-31T14:38:42Z",
    "title_canon_sha256": "9c7fe47aa2afd1a3d0bec7f72a992cc388a43fca6c0fb7fcf2ebbbfde7e02260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09942",
    "kind": "arxiv",
    "version": 3
  }
}