Pith Number

pith:OSG3GI73

pith:2012:OSG3GI735ZF4ZPPGTNBYNEMBSV

not attested not anchored not stored refs pending

A large family of indecomposable projective modules for the Khovanov-Kuperberg algebra of $sl_3$-webs

Louis-Hadrien Robert

arxiv:1207.6287 v3 · 2012-07-26 · math.QA · math.AT · math.CO · 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{OSG3GI735ZF4ZPPGTNBYNEMBSV}

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	2026-05-18T03:40:02.856011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748db323fbee4bccbde69b438691819563beee07a9ed272818a44edde20421f1

Aliases

arxiv: 1207.6287 · arxiv_version: 1207.6287v3 · doi: 10.48550/arxiv.1207.6287 · pith_short_12: OSG3GI735ZF4 · pith_short_16: OSG3GI735ZF4ZPPG · pith_short_8: OSG3GI73

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/OSG3GI735ZF4ZPPGTNBYNEMBSV \
  | 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: 748db323fbee4bccbde69b438691819563beee07a9ed272818a44edde20421f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0efec8134b700c572c2f0ad3e9ac7c6f39820eaad015c5e16306ed921b8ef9cb",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-07-26T14:31:10Z",
    "title_canon_sha256": "d0b01ff09cc57a544dc773c155bb7ef00f0d597a5d79d6025abc240eec45ec82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6287",
    "kind": "arxiv",
    "version": 3
  }
}