Pith Number

pith:RM5JLLM5

pith:2014:RM5JLLM55QKO7H4GXU7FSE4GPC

not attested not anchored not stored refs pending

Positive formulae for K-types of SL_3(R)-irreps and a Blattner formula for smooth K-orbit closures

Allen Knutson

arxiv:1410.0038 v2 · 2014-09-30 · math.RT · 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{RM5JLLM55QKO7H4GXU7FSE4GPC}

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	2026-05-18T02:41:01.635011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3a95ad9dec14ef9f86bd3e591386789cf334dd6de1d849241ec36d4fb866f1

Aliases

arxiv: 1410.0038 · arxiv_version: 1410.0038v2 · doi: 10.48550/arxiv.1410.0038 · pith_short_12: RM5JLLM55QKO · pith_short_16: RM5JLLM55QKO7H4G · pith_short_8: RM5JLLM5

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/RM5JLLM55QKO7H4GXU7FSE4GPC \
  | 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: 8b3a95ad9dec14ef9f86bd3e591386789cf334dd6de1d849241ec36d4fb866f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac13e0da4fbc809fba9cab41ff7bcaceaf79518afed464be59f1877d201baa7f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-09-30T20:19:43Z",
    "title_canon_sha256": "f19b0ce32257afd2e29f35344de5abc0799aca106ad252d6390ca448b82dacb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0038",
    "kind": "arxiv",
    "version": 2
  }
}