Pith Number

pith:FSVY7GZN

pith:2012:FSVY7GZNIN2BI2NT2RJKKHB3HO

not attested not anchored not stored refs pending

Representations of the Kauffman bracket skein algebra II: punctured surfaces

Francis Bonahon, Helen Wong

arxiv:1206.1639 v3 · 2012-06-07 · 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{FSVY7GZNIN2BI2NT2RJKKHB3HO}

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.

Cited by

1 paper in Pith

Parabolic skein modules

Receipt and verification

First computed	2026-05-18T00:21:01.128522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cab8f9b2d43741469b3d452a51c3b3bb279dab7667ec70770035db907b2d442

Aliases

arxiv: 1206.1639 · arxiv_version: 1206.1639v3 · doi: 10.48550/arxiv.1206.1639 · pith_short_12: FSVY7GZNIN2B · pith_short_16: FSVY7GZNIN2BI2NT · pith_short_8: FSVY7GZN

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/FSVY7GZNIN2BI2NT2RJKKHB3HO \
  | 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: 2cab8f9b2d43741469b3d452a51c3b3bb279dab7667ec70770035db907b2d442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043889d5e6bc704d84f067a858242e2780671e9882593b0c5cfdf4ef9712fb57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-07T22:47:56Z",
    "title_canon_sha256": "aba4fea21822790645d4a0d81a2e79a19767a21fe16293aa8e5a5364ce79396d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1639",
    "kind": "arxiv",
    "version": 3
  }
}