Pith Number

pith:4R7E2TXT

pith:2014:4R7E2TXTAI6MCPXRHW3ZBA5AGG

not attested not anchored not stored refs pending

Conway groupoids and completely transitive codes

Jason Semeraro, Neil I. Gillespie, Nick Gill

arxiv:1410.4785 v3 · 2014-10-17 · math.GR · 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{4R7E2TXTAI6MCPXRHW3ZBA5AGG}

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	2026-05-18T02:19:25.322658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47e4d4ef3023cc13ef13db79083a031a582ba03200d68ca32be9cb153177c52

Aliases

arxiv: 1410.4785 · arxiv_version: 1410.4785v3 · doi: 10.48550/arxiv.1410.4785 · pith_short_12: 4R7E2TXTAI6M · pith_short_16: 4R7E2TXTAI6MCPXR · pith_short_8: 4R7E2TXT

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/4R7E2TXTAI6MCPXRHW3ZBA5AGG \
  | 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: e47e4d4ef3023cc13ef13db79083a031a582ba03200d68ca32be9cb153177c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd856cb4ff3df7865d8d0a76abfd59d8df45f28816664258e35350ede8b9c0e4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-17T16:15:40Z",
    "title_canon_sha256": "7009dfc8173338bc97b7e8f8b7545dbebd1c999b80e72d9ac136f5273b51e4aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4785",
    "kind": "arxiv",
    "version": 3
  }
}