Pith Number

pith:BOCH6DFT

pith:2026:BOCH6DFTKTNJKNLN2W2BQBGIYR

not attested not anchored not stored refs pending

The Young Tableaux Hopf algebra and multiple Schur series

Jinbo Yu

arxiv:2607.09157 v1 · 2026-07-10 · math.NT · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOCH6DFTKTNJKNLN2W2BQBGIYR}

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	2026-07-13T01:18:47.213084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b847f0cb354da95356dd5b41804c8c450228f7e18f211d4a8bf6ff9539da37b

Aliases

arxiv: 2607.09157 · arxiv_version: 2607.09157v1 · doi: 10.48550/arxiv.2607.09157 · pith_short_12: BOCH6DFTKTNJ · pith_short_16: BOCH6DFTKTNJKNLN · pith_short_8: BOCH6DFT

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/BOCH6DFTKTNJKNLN2W2BQBGIYR \
  | 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: 0b847f0cb354da95356dd5b41804c8c450228f7e18f211d4a8bf6ff9539da37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b67d6ea8d68e7388b10fb900f3d1d3afa5b6ebe73ee91a91a4e3c19e31bfc9a",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T07:23:36Z",
    "title_canon_sha256": "4381143da4289fa2a7ef0db159d5489b4a9dad39fc0c173fa829f9fbc329c357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09157",
    "kind": "arxiv",
    "version": 1
  }
}