Pith Number

pith:M7EGU2EZ

pith:2017:M7EGU2EZZHSD4GLHSUBL2FTUXM

not attested not anchored not stored refs pending

Cohen-Macaulayness of trivial extensions

A. Mahdikhani, N. Shirmohammadi, P. Sahandi

arxiv:1701.08489 v1 · 2017-01-30 · 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{M7EGU2EZZHSD4GLHSUBL2FTUXM}

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	2026-05-18T00:51:53.949168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c86a6899c9e43e19679502bd1674bb2370b53acd9a882b0841f7b406f8bcf1

Aliases

arxiv: 1701.08489 · arxiv_version: 1701.08489v1 · doi: 10.48550/arxiv.1701.08489 · pith_short_12: M7EGU2EZZHSD · pith_short_16: M7EGU2EZZHSD4GLH · pith_short_8: M7EGU2EZ

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/M7EGU2EZZHSD4GLHSUBL2FTUXM \
  | 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: 67c86a6899c9e43e19679502bd1674bb2370b53acd9a882b0841f7b406f8bcf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "302dcd0aa47053d158551ebd13e9141be3e4be7d0ec89cc739eac4a933ab116c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-30T06:02:51Z",
    "title_canon_sha256": "5070a31c295d1c9f65980e4f462b0e7b26df25cd517cc710d3bf79cfda4a01e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08489",
    "kind": "arxiv",
    "version": 1
  }
}