Pith Number

pith:ISPJXTRH

pith:2022:ISPJXTRHYUJ4MQQO7QU65TC5PL

not attested not anchored not stored refs pending

$m$-periodic Gorenstein objects

Marco A. P\'erez, Mindy Huerta, Octavio Mendoza

arxiv:2207.00075 v1 · 2022-06-30 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISPJXTRHYUJ4MQQO7QU65TC5PL}

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	2026-07-05T04:36:38.870740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449e9bce27c513c6420efc29eecc5d7aea6a6fdcaacf65eccd7d2da17127ae64

Aliases

arxiv: 2207.00075 · arxiv_version: 2207.00075v1 · doi: 10.48550/arxiv.2207.00075 · pith_short_12: ISPJXTRHYUJ4 · pith_short_16: ISPJXTRHYUJ4MQQO · pith_short_8: ISPJXTRH

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/ISPJXTRHYUJ4MQQO7QU65TC5PL \
  | 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: 449e9bce27c513c6420efc29eecc5d7aea6a6fdcaacf65eccd7d2da17127ae64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed49dc126290b83479ebc8814a1cd95c44be30290378476b028839f191540a7",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-06-30T19:38:33Z",
    "title_canon_sha256": "1195d38195b110ec0c22003bcab18261fc7d36728b71e783aa758eb400c29e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00075",
    "kind": "arxiv",
    "version": 1
  }
}