Pith Number

pith:KT43EEFW

pith:2014:KT43EEFWYIZVWNOJYIM5OYKWRQ

not attested not anchored not stored refs pending

Simplicity of heads and socles of tensor products

Masaki Kashiwara, MyungHo Kim, Se-Jin Oh, Seok-Jin Kang

arxiv:1404.4125 v2 · 2014-04-16 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KT43EEFWYIZVWNOJYIM5OYKWRQ}

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	2026-05-17T23:53:14.490947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f9b210b6c2335b35c9c219d761568c06f53d4aa40db170fb657ac95a295597

Aliases

arxiv: 1404.4125 · arxiv_version: 1404.4125v2 · doi: 10.48550/arxiv.1404.4125 · pith_short_12: KT43EEFWYIZV · pith_short_16: KT43EEFWYIZVWNOJ · pith_short_8: KT43EEFW

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/KT43EEFWYIZVWNOJYIM5OYKWRQ \
  | 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: 54f9b210b6c2335b35c9c219d761568c06f53d4aa40db170fb657ac95a295597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd08275a85dad3ebf5682e792ed4476670539c03bed62a72987ef31abef548c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-04-16T02:22:59Z",
    "title_canon_sha256": "b82d18657f0669e4f933b1ab0894f3daec2bf183fb15a08b95ce48596bbc8b68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4125",
    "kind": "arxiv",
    "version": 2
  }
}