Pith Number

pith:CTDRKKJK

pith:2022:CTDRKKJKFATYAR6JYCOQVTD4YB

not attested not anchored not stored refs pending

K-polynomials of multiplicity-free varieties

Fatemeh Mohammadi, Federico Castillo, Jonathan Monta\~no, Yairon Cid-Ruiz

arxiv:2212.13091 v3 · 2022-12-26 · math.AG · math.AC · 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{CTDRKKJKFATYAR6JYCOQVTD4YB}

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.

Cited by

1 paper in Pith

Lattice-free Schubitopes

Receipt and verification

First computed	2026-07-05T11:20:00.968301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c715292a28278047c9c09d0acc7cc07c285120929b61b0b24677502b88d5b4

Aliases

arxiv: 2212.13091 · arxiv_version: 2212.13091v3 · doi: 10.48550/arxiv.2212.13091 · pith_short_12: CTDRKKJKFATY · pith_short_16: CTDRKKJKFATYAR6J · pith_short_8: CTDRKKJK

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/CTDRKKJKFATYAR6JYCOQVTD4YB \
  | 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: 14c715292a28278047c9c09d0acc7cc07c285120929b61b0b24677502b88d5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6776531156be7b85f6aec6554ff5cfb3544bb998aa68630e2bb3b3a226fa68",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-26T11:23:37Z",
    "title_canon_sha256": "706da450b372cbecfb15185f10a6c3e17608e2b0a2aca96ac966e87a4d097b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.13091",
    "kind": "arxiv",
    "version": 3
  }
}