Pith Number

pith:DKVSOIDR

pith:2023:DKVSOIDR4LP6UHZA57V55QC43H

not attested not anchored not stored refs pending

Difference of Hilbert series of homogeneous monoid algebras and their normalizations

Akihiro Higashitani

arxiv:2310.08357 v1 · 2023-10-12 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKVSOIDR4LP6UHZA57V55QC43H}

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	2026-07-05T07:00:14.465709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aab272071e2dfea1f20efebdec05cd9f7fdab034bed820c318df69a9be5d518

Aliases

arxiv: 2310.08357 · arxiv_version: 2310.08357v1 · doi: 10.48550/arxiv.2310.08357 · pith_short_12: DKVSOIDR4LP6 · pith_short_16: DKVSOIDR4LP6UHZA · pith_short_8: DKVSOIDR

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/DKVSOIDR4LP6UHZA57V55QC43H \
  | 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: 1aab272071e2dfea1f20efebdec05cd9f7fdab034bed820c318df69a9be5d518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98bbcaf1b69e83908e2e039561b1678cc3cfb327ed392a5cb6cc9f7ed99cf595",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-10-12T14:26:27Z",
    "title_canon_sha256": "baa747cf0b2c41967ae8def76cc59a78f681502887af3029e2ded711b5c09ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.08357",
    "kind": "arxiv",
    "version": 1
  }
}