Pith Number

pith:W6YFVWFF

pith:2023:W6YFVWFFCTVA2XMHHWLT376QJX

not attested not anchored not stored refs pending

$h$-vectors of edge rings of odd-cycle compositions

Akihiro Higashitani, Kieran Bhaskara, Nayana Shibu Deepthi

arxiv:2311.13573 v1 · 2023-11-22 · 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{W6YFVWFFCTVA2XMHHWLT376QJX}

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	2026-07-05T07:15:40.341767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b05ad8a514ea0d5d873d973dffd04de79930a59ea32505729a2c8a3a884ea4

Aliases

arxiv: 2311.13573 · arxiv_version: 2311.13573v1 · doi: 10.48550/arxiv.2311.13573 · pith_short_12: W6YFVWFFCTVA · pith_short_16: W6YFVWFFCTVA2XMH · pith_short_8: W6YFVWFF

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/W6YFVWFFCTVA2XMHHWLT376QJX \
  | 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: b7b05ad8a514ea0d5d873d973dffd04de79930a59ea32505729a2c8a3a884ea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58cc4aa51cbad9a87edd1143ebd948e00fcba97086a7678599374a25af9921e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-11-22T18:27:48Z",
    "title_canon_sha256": "1e877f8d7b9c033c0fe7b61b940eaea821caf7b04cdd42c0c525848a90ece483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.13573",
    "kind": "arxiv",
    "version": 1
  }
}