Pith Number

pith:P56R3BMD

pith:1998:P56R3BMDM74TYVO2SCQ6NWS6LS

not attested not anchored not stored refs pending

A Faithful Representation of the Singular Braid Monoid on Three Strands

Bernd Gemein, Oliver T. Dasbach

arxiv:math/9806050 v1 · 1998-06-09 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P56R3BMDM74TYVO2SCQ6NWS6LS}

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.

Cited by

1 paper in Pith

Classification of Homogeneous Local Representations of the Singular Braid Monoid

Receipt and verification

First computed	2026-07-04T14:40:41.347934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f7d1d858367f93c55da90a1e6da5e5c81d82e0036c644b7c361f24ad2cf1c8e

Aliases

arxiv: math/9806050 · arxiv_version: math/9806050v1 · doi: 10.48550/arxiv.math/9806050 · pith_short_12: P56R3BMDM74T · pith_short_16: P56R3BMDM74TYVO2 · pith_short_8: P56R3BMD

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/P56R3BMDM74TYVO2SCQ6NWS6LS \
  | 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: 7f7d1d858367f93c55da90a1e6da5e5c81d82e0036c644b7c361f24ad2cf1c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5951db87ee532c2d99df3ca8e92b8c1a44cad154fe2b0013d55944743d9d2ac6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-06-09T20:53:59Z",
    "title_canon_sha256": "08c3eea579ff0a18d96c8a5e4909834872dbc7d9e6c850c2bf558ebb5b63f56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9806050",
    "kind": "arxiv",
    "version": 1
  }
}