Pith Number

pith:6GDE2QIA

pith:2012:6GDE2QIAUM4MPF2L5OBV3HXZU3

not attested not anchored not stored refs pending

Skein algebras and cluster algebras of marked surfaces

Greg Muller

arxiv:1204.0020 v2 · 2012-03-30 · math.QA · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GDE2QIAUM4MPF2L5OBV3HXZU3}

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

2 papers in Pith

Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects

Kauffman bracket skein module of the connected sum of two solid tori

Receipt and verification

First computed	2026-05-18T01:11:55.574241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1864d4100a338c7974beb835d9ef9a6f8736d1a44c5db2591eba3989233be81

Aliases

arxiv: 1204.0020 · arxiv_version: 1204.0020v2 · doi: 10.48550/arxiv.1204.0020 · pith_short_12: 6GDE2QIAUM4M · pith_short_16: 6GDE2QIAUM4MPF2L · pith_short_8: 6GDE2QIA

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/6GDE2QIAUM4MPF2L5OBV3HXZU3 \
  | 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: f1864d4100a338c7974beb835d9ef9a6f8736d1a44c5db2591eba3989233be81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "393d31cde6580e45fd73a3156cf041a709004d5d9713c8851bff22f818cf2bff",
    "cross_cats_sorted": [
      "math.GT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-30T20:43:43Z",
    "title_canon_sha256": "cbc7ac6cd089e218bf0b0fd6cea804bb9986490a25d4f954153a06654fd47df4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0020",
    "kind": "arxiv",
    "version": 2
  }
}