Pith Number

pith:ZNMEZYFW

pith:2015:ZNMEZYFWTFIQODHANMUHTHCPAU

not attested not anchored not stored refs pending

A note on corollaries to Tokuyama's Identity for symplectic Schur $Q$-Functions

Ang\`ele M. Hamel, Ronald C. King

arxiv:1509.09251 v1 · 2015-09-30 · 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{ZNMEZYFWTFIQODHANMUHTHCPAU}

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	2026-05-18T01:31:21.912973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb584ce0b69951070ce06b28799c4f0529899175f69a4b2b1cc3dcb145b60475

Aliases

arxiv: 1509.09251 · arxiv_version: 1509.09251v1 · doi: 10.48550/arxiv.1509.09251 · pith_short_12: ZNMEZYFWTFIQ · pith_short_16: ZNMEZYFWTFIQODHA · pith_short_8: ZNMEZYFW

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/ZNMEZYFWTFIQODHANMUHTHCPAU \
  | 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: cb584ce0b69951070ce06b28799c4f0529899175f69a4b2b1cc3dcb145b60475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643e33a0dff50a9781613eaef01ea7d540c98d672beaa2db09a34b722714f40c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-30T16:44:35Z",
    "title_canon_sha256": "4f1f2b4973270f81a36b4a28a81ba3cfa66ef7c95ecd2ba31f6eb7dd250b6681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09251",
    "kind": "arxiv",
    "version": 1
  }
}