Pith Number

pith:QYTFCURY

pith:2017:QYTFCURYBX6Q65MEPAPV42XCPD

not attested not anchored not stored refs pending

Unicity for Representations of the Kauffman bracket Skein Algebra

Charles Frohman, Joanna Kania-Bartoszynska, Thang L\^e

arxiv:1707.09234 v2 · 2017-07-28 · 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{QYTFCURYBX6Q65MEPAPV42XCPD}

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	2026-05-17T23:50:47.184748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86265152380dfd0f7584781f5e6ae278ed146af8affe0f7e446875f7a53ac4e6

Aliases

arxiv: 1707.09234 · arxiv_version: 1707.09234v2 · doi: 10.48550/arxiv.1707.09234 · pith_short_12: QYTFCURYBX6Q · pith_short_16: QYTFCURYBX6Q65ME · pith_short_8: QYTFCURY

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/QYTFCURYBX6Q65MEPAPV42XCPD \
  | 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: 86265152380dfd0f7584781f5e6ae278ed146af8affe0f7e446875f7a53ac4e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b1ee8534beed8678ed4d11766bdf2739506b3e3766fbf91a238e9b377530524",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-28T13:58:25Z",
    "title_canon_sha256": "e2cc8e7fdc353aa7b7cab09cf2d66f389d5d39bfbb3b71fc0ebee13a861802a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09234",
    "kind": "arxiv",
    "version": 2
  }
}