Pith Number

pith:KE3FLPFD

pith:2013:KE3FLPFDFLPOPLE6VXFZS3POB4

not attested not anchored not stored refs pending

Schur function identities arising from the basic representation of $A^{(2)}_{2}$

Hiro-Fumi Yamada, Hiroshi Mizukawa, Ryoji Seno, Tatsuhiro Nakajima

arxiv:1305.1394 v2 · 2013-05-07 · 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{KE3FLPFDFLPOPLE6VXFZS3POB4}

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	2026-05-18T01:50:05.382488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513655bca32adee7ac9eadcb996dee0f330335c98725e959ce5112712277bd34

Aliases

arxiv: 1305.1394 · arxiv_version: 1305.1394v2 · doi: 10.48550/arxiv.1305.1394 · pith_short_12: KE3FLPFDFLPO · pith_short_16: KE3FLPFDFLPOPLE6 · pith_short_8: KE3FLPFD

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/KE3FLPFDFLPOPLE6VXFZS3POB4 \
  | 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: 513655bca32adee7ac9eadcb996dee0f330335c98725e959ce5112712277bd34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b1a2c46655c5af0a96de408e2099622d00b3f5614180ed30216b2b321bc2e4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-07T04:04:26Z",
    "title_canon_sha256": "d8056966b81917393cae4ad12ddf94e9d758daa892746854f8902484ac4a0345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1394",
    "kind": "arxiv",
    "version": 2
  }
}