Pith Number

pith:Q4Q23TMM

pith:2014:Q4Q23TMMTQSZVKMP3VHGLLYRBW

not attested not anchored not stored refs pending

Operad groups and their finiteness properties

Werner Thumann

arxiv:1409.1085 v3 · 2014-09-03 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4Q23TMMTQSZVKMP3VHGLLYRBW}

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	2026-05-18T01:17:53.270153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8721adcd8c9c259aa98fdd4e65af110da19426340a93b514b381cec11aaa1e9a

Aliases

arxiv: 1409.1085 · arxiv_version: 1409.1085v3 · doi: 10.48550/arxiv.1409.1085 · pith_short_12: Q4Q23TMMTQSZ · pith_short_16: Q4Q23TMMTQSZVKMP · pith_short_8: Q4Q23TMM

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/Q4Q23TMMTQSZVKMP3VHGLLYRBW \
  | 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: 8721adcd8c9c259aa98fdd4e65af110da19426340a93b514b381cec11aaa1e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "806efe5d529c7250aca15953acec4d78b99b49805d72ce27631d27fdf2aadbcb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-03T13:44:12Z",
    "title_canon_sha256": "be39b1d655a803da4d647518ceeb74c339e3f3e4989d6866f2d05fdd90b0222a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1085",
    "kind": "arxiv",
    "version": 3
  }
}