Pith Number

pith:7C3SQTXN

pith:2026:7C3SQTXNSTC2ENC4AQSPFULGHZ

not attested not anchored not stored refs pending

Central extensions of mapping class groups of surfaces from stated skein algebras

Joris Moulai

arxiv:2606.24378 v1 · 2026-06-23 · 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{7C3SQTXNSTC2ENC4AQSPFULGHZ}

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	2026-06-24T01:15:28.961738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b7284eed94c5a2345c0424f2d1663e5dc3c13cb257a5cdad0d5e3422b70894

Aliases

arxiv: 2606.24378 · arxiv_version: 2606.24378v1 · doi: 10.48550/arxiv.2606.24378 · pith_short_12: 7C3SQTXNSTC2 · pith_short_16: 7C3SQTXNSTC2ENC4 · pith_short_8: 7C3SQTXN

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/7C3SQTXNSTC2ENC4AQSPFULGHZ \
  | 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: f8b7284eed94c5a2345c0424f2d1663e5dc3c13cb257a5cdad0d5e3422b70894

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5454d99ec1f2991acee1b3fd5853c91341a86909bcdb987743733e148939e7f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-06-23T10:09:15Z",
    "title_canon_sha256": "cd2cc86560af1e0c174a48b32210c985805195b65488a0f48fdb188913f15ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24378",
    "kind": "arxiv",
    "version": 1
  }
}