Pith Number

pith:ABLN4AKQ

pith:2025:ABLN4AKQVY55ET36M5EXQBZITV

not attested not anchored not stored refs pending

On extensions of the standard representation of the braid group to the singular braid group

Mohamad N. Nasser

arxiv:2504.09256 v1 · 2025-04-12 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABLN4AKQVY55ET36M5EXQBZITV}

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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

Matrix representations of the twisted virtual braid group and its extensions

Receipt and verification

First computed	2026-07-05T10:48:34.109162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0056de0150ae3bd24f7e67497807289d63c36a869504c639596d4ae791708e91

Aliases

arxiv: 2504.09256 · arxiv_version: 2504.09256v1 · doi: 10.48550/arxiv.2504.09256 · pith_short_12: ABLN4AKQVY55 · pith_short_16: ABLN4AKQVY55ET36 · pith_short_8: ABLN4AKQ

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/ABLN4AKQVY55ET36M5EXQBZITV \
  | 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: 0056de0150ae3bd24f7e67497807289d63c36a869504c639596d4ae791708e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43372d81d78da57df93ef173a70fdbfe9e2b07d8c7f83ef0da8b24be71d0b0e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-04-12T15:30:44Z",
    "title_canon_sha256": "76d9457ef7fe80d65fc4e4e978faecdc8c97be515443b69e7eb0c0f56d1791cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09256",
    "kind": "arxiv",
    "version": 1
  }
}