Pith Number

pith:JWULMQPU

pith:2014:JWULMQPUWMEALZ3RCXJ7TAPKKG

not attested not anchored not stored refs pending

Koszulity of directed categories in representation stability theory

Liping Li, Wee Liang Gan

arxiv:1411.5308 v4 · 2014-11-19 · math.RT · math.AT · 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{JWULMQPUWMEALZ3RCXJ7TAPKKG}

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	2026-05-18T00:22:48.463730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da8b641f4b30805e77115d3f981ea5198b8f68889db45826acb5ab600ebe77a

Aliases

arxiv: 1411.5308 · arxiv_version: 1411.5308v4 · doi: 10.48550/arxiv.1411.5308 · pith_short_12: JWULMQPUWMEA · pith_short_16: JWULMQPUWMEALZ3R · pith_short_8: JWULMQPU

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/JWULMQPUWMEALZ3RCXJ7TAPKKG \
  | 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: 4da8b641f4b30805e77115d3f981ea5198b8f68889db45826acb5ab600ebe77a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4855536de400b8e8848e3ae348c3be8334eb073eb8fac5a5c820a4ed92c2d9ac",
    "cross_cats_sorted": [
      "math.AT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-11-19T18:35:45Z",
    "title_canon_sha256": "6edfe3e5531887d4ff945dd6d73691ecb1a927e627f586f3b1ce0e66a503fec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5308",
    "kind": "arxiv",
    "version": 4
  }
}