Pith Number

pith:7LDVIUA6

pith:2024:7LDVIUA6WQUMXORXVWTZGGDBK3

not attested not anchored not stored refs pending

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions

Aritra Bhattacharya

arxiv:2412.09929 v1 · 2024-12-13 · 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{7LDVIUA6WQUMXORXVWTZGGDBK3}

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	2026-07-05T09:48:43.907385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac754501eb428cbba37ada793186156e338b097b512d923e09c75f7de1ab52b

Aliases

arxiv: 2412.09929 · arxiv_version: 2412.09929v1 · doi: 10.48550/arxiv.2412.09929 · pith_short_12: 7LDVIUA6WQUM · pith_short_16: 7LDVIUA6WQUMXORX · pith_short_8: 7LDVIUA6

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/7LDVIUA6WQUMXORXVWTZGGDBK3 \
  | 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: fac754501eb428cbba37ada793186156e338b097b512d923e09c75f7de1ab52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "092780fa8cbdcf89d6873264b83172361ace30b443e7942963868313aef33017",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-13T07:29:33Z",
    "title_canon_sha256": "951cb9c03a87152ad88ab6bb646ef12f8b1589ea840ed84ad1441aa47de05b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09929",
    "kind": "arxiv",
    "version": 1
  }
}