Pith Number

pith:NOWX3QRL

pith:2019:NOWX3QRLD6FJPN2BXMXFZ4EX2E

not attested not anchored not stored refs pending

Dimension and Trace of the Kauffman Bracket Skein Algebra

Charles Frohman, Joanna Kania-Bartoszynska, Thang Le

arxiv:1902.02002 v2 · 2019-02-06 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOWX3QRLD6FJPN2BXMXFZ4EX2E}

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	2026-05-17T23:52:31.793081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bad7dc22b1f8a97b741bb2e5cf097d10653045f91bbef42702b21b6384acadd

Aliases

arxiv: 1902.02002 · arxiv_version: 1902.02002v2 · doi: 10.48550/arxiv.1902.02002 · pith_short_12: NOWX3QRLD6FJ · pith_short_16: NOWX3QRLD6FJPN2B · pith_short_8: NOWX3QRL

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/NOWX3QRLD6FJPN2BXMXFZ4EX2E \
  | 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: 6bad7dc22b1f8a97b741bb2e5cf097d10653045f91bbef42702b21b6384acadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "391f14af680addefa681d7f0a1674d57292e2dfcec7279b58f0c9ba2cb761e70",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-06T02:13:37Z",
    "title_canon_sha256": "896e7f6e7ffa6baea9a394fb3286e4e5ea2ae59b8285c9333d58e6810d21628c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02002",
    "kind": "arxiv",
    "version": 2
  }
}