Pith Number

pith:MMXYGNVP

pith:2000:MMXYGNVPTXM62KFN3GRNO7I2T5

not attested not anchored not stored refs pending

Symmetrizer and Antisymmetrizer of the Birman-Wenzl-Murakami Algebras

Axel Sch\"uler, Istv\'an Heckenberger

arxiv:math/0002170 v1 · 2000-02-21 · math.QA · 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{MMXYGNVPTXM62KFN3GRNO7I2T5}

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

The quantum spin Brauer category

Receipt and verification

First computed	2026-07-04T14:34:23.162004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632f8336af9dd9ed28add9a2d77d1a9f6437066ab58b32b8614b3fa4f0bcd554

Aliases

arxiv: math/0002170 · arxiv_version: math/0002170v1 · doi: 10.48550/arxiv.math/0002170 · pith_short_12: MMXYGNVPTXM6 · pith_short_16: MMXYGNVPTXM62KFN · pith_short_8: MMXYGNVP

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/MMXYGNVPTXM62KFN3GRNO7I2T5 \
  | 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: 632f8336af9dd9ed28add9a2d77d1a9f6437066ab58b32b8614b3fa4f0bcd554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37726ee2429a9ed70e3fd10b5c6d7716a304295f314402706f33c452208549c9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-02-21T16:33:08Z",
    "title_canon_sha256": "5dc4e4389e1d44935d48845783747b7431a961e7b325098f61728a245eeddc43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002170",
    "kind": "arxiv",
    "version": 1
  }
}