Pith Number

pith:KIHEWIMP

pith:1999:KIHEWIMPRV52WJM2HKC4XKJA3E

not attested not anchored not stored refs pending

Irreducibility of some quantum representations of mapping class groups

Justin Roberts

arxiv:math/9909128 v1 · 1999-09-22 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIHEWIMPRV52WJM2HKC4XKJA3E}

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	2026-07-04T14:41:18.978339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

520e4b218f8d7bab259a3a85cba920d91cea5c05529e8f786e7008e05367dda2

Aliases

arxiv: math/9909128 · arxiv_version: math/9909128v1 · doi: 10.48550/arxiv.math/9909128 · pith_short_12: KIHEWIMPRV52 · pith_short_16: KIHEWIMPRV52WJM2 · pith_short_8: KIHEWIMP

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/KIHEWIMPRV52WJM2HKC4XKJA3E \
  | 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: 520e4b218f8d7bab259a3a85cba920d91cea5c05529e8f786e7008e05367dda2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5cbdc982eb098c377893b1d7c5cdf60d5a8a5252fa78ef3007512d011181d42",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-09-22T12:51:42Z",
    "title_canon_sha256": "5652717dcfe2851e5bbf74ec8d1b310fb787254ebf56a2ec6bdea9500a904479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909128",
    "kind": "arxiv",
    "version": 1
  }
}