Pith Number

pith:YRDCBCF7

pith:2016:YRDCBCF7EIH5KVN726MR5BCW7R

not attested not anchored not stored refs pending

Fermionic formula for double Kostka polynomials

Shiyuan Liu

arxiv:1602.08792 v1 · 2016-02-29 · 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{YRDCBCF7EIH5KVN726MR5BCW7R}

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	2026-05-18T01:19:51.936967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4462088bf220fd555bfd7991e8456fc69a5d46898c3af22ab6237be786ad00c

Aliases

arxiv: 1602.08792 · arxiv_version: 1602.08792v1 · doi: 10.48550/arxiv.1602.08792 · pith_short_12: YRDCBCF7EIH5 · pith_short_16: YRDCBCF7EIH5KVN7 · pith_short_8: YRDCBCF7

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/YRDCBCF7EIH5KVN726MR5BCW7R \
  | 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: c4462088bf220fd555bfd7991e8456fc69a5d46898c3af22ab6237be786ad00c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7417151cc3e1b822a8e37a7d5ebf91c12be3770ccad98ac3919beb51bf0ea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-02-29T01:00:55Z",
    "title_canon_sha256": "a4b50d5d0dec5acd01bfb2e512813feb7e1b342f78ba8f91e14d72a50b56ace4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08792",
    "kind": "arxiv",
    "version": 1
  }
}