Pith Number

pith:NTC6P33P

pith:2017:NTC6P33PBB3CSXVB4OT3N6Y54T

not attested not anchored not stored refs pending

Shifted tableaux and products of Schur's symmetric functions

Keiichi Shigechi

arxiv:1705.06437 v1 · 2017-05-18 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTC6P33PBB3CSXVB4OT3N6Y54T}

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	2026-05-18T00:44:14.761282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc5e7ef6f0876295ea1e3a7b6fb1de4d99b8e68d1fb440f94f7196d7d9b4c15

Aliases

arxiv: 1705.06437 · arxiv_version: 1705.06437v1 · doi: 10.48550/arxiv.1705.06437 · pith_short_12: NTC6P33PBB3C · pith_short_16: NTC6P33PBB3CSXVB · pith_short_8: NTC6P33P

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/NTC6P33PBB3CSXVB4OT3N6Y54T \
  | 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: 6cc5e7ef6f0876295ea1e3a7b6fb1de4d99b8e68d1fb440f94f7196d7d9b4c15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0950a403f845e92fd324d1f73bc738985534bba9e6a6055f1771c22339a09a00",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-18T07:00:16Z",
    "title_canon_sha256": "b84f5140cecc2235aee15cddeb46e5d6a3e38b0d3e3401b0b82c2787c14c2ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06437",
    "kind": "arxiv",
    "version": 1
  }
}