Pith Number

pith:FXGBYIMQ

pith:2014:FXGBYIMQKGVJGWRJA2WW77TKFD

not attested not anchored not stored refs pending

Markov traces on the Birman-Wenzl-Murakami algebras

Emmanuel Wagner, Ivan Marin

arxiv:1403.4021 v2 · 2014-03-17 · math.GT · 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{FXGBYIMQKGVJGWRJA2WW77TKFD}

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	2026-05-18T02:47:15.485857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dcc1c219051aa935a2906ad6ffe6a28c522d7a6cc7c29d068a9a6c4b0150fe3

Aliases

arxiv: 1403.4021 · arxiv_version: 1403.4021v2 · doi: 10.48550/arxiv.1403.4021 · pith_short_12: FXGBYIMQKGVJ · pith_short_16: FXGBYIMQKGVJGWRJ · pith_short_8: FXGBYIMQ

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/FXGBYIMQKGVJGWRJA2WW77TKFD \
  | 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: 2dcc1c219051aa935a2906ad6ffe6a28c522d7a6cc7c29d068a9a6c4b0150fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1faf57910598e6256ebef228fdb77cf84ac6a7e4f360302724df67a6898309",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-17T08:19:31Z",
    "title_canon_sha256": "d5ad78b07cd7014db7e1dee53166136f080eefefbc6c65d988d7d47dd941cc50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4021",
    "kind": "arxiv",
    "version": 2
  }
}