Pith Number

pith:JDGSZPQ4

pith:2022:JDGSZPQ4FNFTCCEZAQ2KYD54TS

not attested not anchored not stored refs pending

The $h$-vectors of the edge rings of a special family of graphs

Akihiro Higashitani, Nayana Shibu Deepthi

arxiv:2207.06021 v1 · 2022-07-13 · 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{JDGSZPQ4FNFTCCEZAQ2KYD54TS}

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	2026-07-05T04:39:53.873184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48cd2cbe1c2b4b3108990434ac0fbc9c89fd7460d262c38a86dacf9b9e669bfb

Aliases

arxiv: 2207.06021 · arxiv_version: 2207.06021v1 · doi: 10.48550/arxiv.2207.06021 · pith_short_12: JDGSZPQ4FNFT · pith_short_16: JDGSZPQ4FNFTCCEZ · pith_short_8: JDGSZPQ4

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/JDGSZPQ4FNFTCCEZAQ2KYD54TS \
  | 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: 48cd2cbe1c2b4b3108990434ac0fbc9c89fd7460d262c38a86dacf9b9e669bfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8e92b2e66be39badd013fe1fb3a136b946779807ad300b39428a04502df4d6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-07-13T08:09:54Z",
    "title_canon_sha256": "a36de0651caf4e2a6a0c48383908eed10372ca9ee05652cde326616bd8749081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06021",
    "kind": "arxiv",
    "version": 1
  }
}