Pith Number

pith:TEHJHOYT

pith:2021:TEHJHOYTMIH4ALXM7SZGWL5EQT

not attested not anchored not stored refs pending

Levelness versus almost Gorensteinness of edge rings of complete multipartite graphs

Akihiro Higashitani, Koji Matsushita

arxiv:2102.02349 v1 · 2021-02-04 · 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{TEHJHOYTMIH4ALXM7SZGWL5EQT}

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	2026-07-05T02:12:47.291704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

990e93bb13620fc02eecfcb26b2fa484d886a3cb37e992f60b399ce4efb624eb

Aliases

arxiv: 2102.02349 · arxiv_version: 2102.02349v1 · doi: 10.48550/arxiv.2102.02349 · pith_short_12: TEHJHOYTMIH4 · pith_short_16: TEHJHOYTMIH4ALXM · pith_short_8: TEHJHOYT

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/TEHJHOYTMIH4ALXM7SZGWL5EQT \
  | 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: 990e93bb13620fc02eecfcb26b2fa484d886a3cb37e992f60b399ce4efb624eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc5490cc11d849a36454ee8a56d904f353de166de245c668219bdbeb1e9e02f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-02-04T00:36:20Z",
    "title_canon_sha256": "3b16ed671d7942d2716b62560290378ce3da5379448b9a284e6a61464ed3fb0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02349",
    "kind": "arxiv",
    "version": 1
  }
}