Pith Number

pith:RKCM5KXN

pith:2016:RKCM5KXN55ZTMRFPWHBFGLI65J

not attested not anchored not stored refs pending

The Structure of the Kauffman Bracket Skein Algebra at Roots of Unity

Charles Frohman, Joanna Kania-Bartoszynska

arxiv:1607.03424 v1 · 2016-07-12 · 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{RKCM5KXN55ZTMRFPWHBFGLI65J}

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	2026-05-18T01:11:09.027186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a84ceaaedef733644afb1c2532d1eea43f032bf9c92ea23cc3c99dfbf38346b

Aliases

arxiv: 1607.03424 · arxiv_version: 1607.03424v1 · doi: 10.48550/arxiv.1607.03424 · pith_short_12: RKCM5KXN55ZT · pith_short_16: RKCM5KXN55ZTMRFP · pith_short_8: RKCM5KXN

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/RKCM5KXN55ZTMRFPWHBFGLI65J \
  | 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: 8a84ceaaedef733644afb1c2532d1eea43f032bf9c92ea23cc3c99dfbf38346b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc2210bc66076f135732b30469cded37723931521865f92dcc12fa1f1adf862",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-12T16:04:27Z",
    "title_canon_sha256": "fe379ab123b53a7fbed17fa497e06ecec4daf1a89009314f2e6738e50376e336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03424",
    "kind": "arxiv",
    "version": 1
  }
}