Pith Number

pith:RT4LPQ7X

pith:1998:RT4LPQ7X2W4WQNIDIMZBS5UIUM

not attested not anchored not stored refs pending

The Word Problem for the Singular Braid Monoid

Bernd Gemein, Oliver T. Dasbach

arxiv:math/9809070 v1 · 1998-09-12 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RT4LPQ7X2W4WQNIDIMZBS5UIUM}

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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.

Cited by

1 paper in Pith

Classification of Homogeneous Local Representations of the Singular Braid Monoid

Receipt and verification

First computed	2026-07-04T14:40:47.249820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cf8b7c3f7d5b96835034332197688a325f3143f57b9b161875501276e566f74

Aliases

arxiv: math/9809070 · arxiv_version: math/9809070v1 · doi: 10.48550/arxiv.math/9809070 · pith_short_12: RT4LPQ7X2W4W · pith_short_16: RT4LPQ7X2W4WQNID · pith_short_8: RT4LPQ7X

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/RT4LPQ7X2W4WQNIDIMZBS5UIUM \
  | 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: 8cf8b7c3f7d5b96835034332197688a325f3143f57b9b161875501276e566f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812bc5556aaf3b3116e9ec8965790e1a3043e5987aca070d70923d874fb5b647",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-09-12T18:01:49Z",
    "title_canon_sha256": "9a87ce33a0bffd032a71b982bcfe4035279a15b467d9f02a8731ab17193f4c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809070",
    "kind": "arxiv",
    "version": 1
  }
}