Pith Number

pith:VUP27LYI

pith:2019:VUP27LYIRMMT4SZUGLBBVIVURK

not attested not anchored not stored refs pending

Generalized F-signatures of Hibi rings

Akihiro Higashitani, Yusuke Nakajima

arxiv:1911.08720 v2 · 2019-11-20 · 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{VUP27LYIRMMT4SZUGLBBVIVURK}

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	2026-07-05T01:32:42.423290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1fafaf088b193e4b3432c21aa2b48a8cdffa07daa2fe8f96732f2dfb4cd44e

Aliases

arxiv: 1911.08720 · arxiv_version: 1911.08720v2 · doi: 10.48550/arxiv.1911.08720 · pith_short_12: VUP27LYIRMMT · pith_short_16: VUP27LYIRMMT4SZU · pith_short_8: VUP27LYI

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/VUP27LYIRMMT4SZUGLBBVIVURK \
  | 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: ad1fafaf088b193e4b3432c21aa2b48a8cdffa07daa2fe8f96732f2dfb4cd44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "275b470fbe70af6a5bf3be6388216046c0a977d29096626b420cbb15cbc947d8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-11-20T05:59:23Z",
    "title_canon_sha256": "ec8260d1a8c53371394250e4d0062424ba7a8d3be7703e5b38fbda3ca68666eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08720",
    "kind": "arxiv",
    "version": 2
  }
}