Pith Number

pith:KCORHGW2

pith:2017:KCORHGW2Z5ICLJAJ3WXDIO6JTT

not attested not anchored not stored refs pending

Elementary proof and application of the generating function for generalized Hall-Littlewood functions

Hiroshi Naruse

arxiv:1705.02856 v6 · 2017-05-08 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCORHGW2Z5ICLJAJ3WXDIO6JTT}

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	2026-05-18T00:04:40.063307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509d139adacf5025a409ddae343bc99cfe067924dc1dbd6864b89739d960865f

Aliases

arxiv: 1705.02856 · arxiv_version: 1705.02856v6 · doi: 10.48550/arxiv.1705.02856 · pith_short_12: KCORHGW2Z5IC · pith_short_16: KCORHGW2Z5ICLJAJ · pith_short_8: KCORHGW2

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/KCORHGW2Z5ICLJAJ3WXDIO6JTT \
  | 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: 509d139adacf5025a409ddae343bc99cfe067924dc1dbd6864b89739d960865f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4565b94c3b4436335884886dbdd1b7377a158b6d5de678455c5b4af67a1d600b",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-05-08T13:12:16Z",
    "title_canon_sha256": "0dfc66e9447b093e2beeb972e918e7c846ca750b69b9b43681a126be4114e14f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02856",
    "kind": "arxiv",
    "version": 6
  }
}