Pith Number

pith:RMJ5SGE6

pith:2015:RMJ5SGE6RGOKHZ6VYLROVHNNZH

not attested not anchored not stored refs pending

The fundamental group of a Hopf linear category

Andrea Solotar, Claude Cibils

arxiv:1503.07343 v2 · 2015-03-25 · 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{RMJ5SGE6RGOKHZ6VYLROVHNNZH}

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	2026-05-18T00:13:48.631456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b13d9189e899ca3e7d5c2e2ea9dadc9c8b0e1ac7c29d0218d71b34b77d2e1fd

Aliases

arxiv: 1503.07343 · arxiv_version: 1503.07343v2 · doi: 10.48550/arxiv.1503.07343 · pith_short_12: RMJ5SGE6RGOK · pith_short_16: RMJ5SGE6RGOKHZ6V · pith_short_8: RMJ5SGE6

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/RMJ5SGE6RGOKHZ6VYLROVHNNZH \
  | 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: 8b13d9189e899ca3e7d5c2e2ea9dadc9c8b0e1ac7c29d0218d71b34b77d2e1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2171c44bf760e6277b567f754f3e45d952a9301ae06f5e03338d5cca62499b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-03-25T11:37:18Z",
    "title_canon_sha256": "d2976ada7523be0642168ef4e9bae71f0a0985d21c9227da2af9d2f2c51b189a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07343",
    "kind": "arxiv",
    "version": 2
  }
}