Pith Number

pith:BYSGVSBZ

pith:2009:BYSGVSBZSKDMAHVGCC7FHBHKOR

not attested not anchored not stored refs pending

The geometry of Markov traces

Ben Webster, Geordie Williamson

arxiv:0911.4494 v2 · 2009-11-23 · math.AG · 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{BYSGVSBZSKDMAHVGCC7FHBHKOR}

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

Uncoiled affine Temperley-Lieb algebras and their Wenzl-Jones projectors

Receipt and verification

First computed	2026-07-05T00:26:52.159061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e246ac8399286c01ea610be5384ea745404bde50c49c49752369879345106c0

Aliases

arxiv: 0911.4494 · arxiv_version: 0911.4494v2 · doi: 10.48550/arxiv.0911.4494 · pith_short_12: BYSGVSBZSKDM · pith_short_16: BYSGVSBZSKDMAHVG · pith_short_8: BYSGVSBZ

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/BYSGVSBZSKDMAHVGCC7FHBHKOR \
  | 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: 0e246ac8399286c01ea610be5384ea745404bde50c49c49752369879345106c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6cb5705a37305731fe5e0974a3caa5b93cc6dabad364c3b5bbb07b4612def5",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-23T21:20:17Z",
    "title_canon_sha256": "e880fb29706209bb760de88289ab796f4b151121cd5ab14a7c1eb3118db8086f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4494",
    "kind": "arxiv",
    "version": 2
  }
}