Pith Number

pith:SWHRTOQL

pith:2010:SWHRTOQLBSNQUFYNRNZO74B5FS

not attested not anchored not stored refs pending

Bilinear Forms on Skein Modules and Steps in Dyck Paths

Toufik Mansour, Xuanting Cai

arxiv:1011.0941 v2 · 2010-11-03 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWHRTOQLBSNQUFYNRNZO74B5FS}

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	2026-05-18T02:23:37.756663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958f19ba0b0c9b0a170d8b72eff03d2ca573a6bdbdfad6d542c54d2411df39b5

Aliases

arxiv: 1011.0941 · arxiv_version: 1011.0941v2 · doi: 10.48550/arxiv.1011.0941 · pith_short_12: SWHRTOQLBSNQ · pith_short_16: SWHRTOQLBSNQUFYN · pith_short_8: SWHRTOQL

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/SWHRTOQLBSNQUFYNRNZO74B5FS \
  | 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: 958f19ba0b0c9b0a170d8b72eff03d2ca573a6bdbdfad6d542c54d2411df39b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55aa981027f05cc055391d6f04a8a489a545a6dd9c2e5044a9776cb5a768021",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-11-03T17:09:28Z",
    "title_canon_sha256": "aea051001907a16e91be6b9610b186fce7be24ed01c65ed07e3b3888585bbadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0941",
    "kind": "arxiv",
    "version": 2
  }
}