Pith Number

pith:ET7MZS7B

pith:2017:ET7MZS7BOYYNV6FHHHH5FSUC23

not attested not anchored not stored refs pending

Multiprojective spaces and the arithmetically Cohen-Macaulay property

Giuseppe Favacchio, Juan Migliore

arxiv:1707.07417 v1 · 2017-07-24 · math.AG · 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{ET7MZS7BOYYNV6FHHHH5FSUC23}

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	2026-05-18T00:39:42.293866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24fecccbe17630daf8a739cfd2ca82d6d4efb0d6c6221a1e88874655c975958b

Aliases

arxiv: 1707.07417 · arxiv_version: 1707.07417v1 · doi: 10.48550/arxiv.1707.07417 · pith_short_12: ET7MZS7BOYYN · pith_short_16: ET7MZS7BOYYNV6FH · pith_short_8: ET7MZS7B

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/ET7MZS7BOYYNV6FHHHH5FSUC23 \
  | 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: 24fecccbe17630daf8a739cfd2ca82d6d4efb0d6c6221a1e88874655c975958b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c21743ec50f987c857a6b94bc064104d84a1ed633cdbd31e5b56fda8471a535",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-24T06:32:32Z",
    "title_canon_sha256": "3e6877600024b29c30e671a1831078e9322e1f2d769e80b852aaad55eb753925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07417",
    "kind": "arxiv",
    "version": 1
  }
}