Pith Number

pith:IF4OV3LQ

pith:2016:IF4OV3LQWKVZFJCEJBQDZG7ASD

not attested not anchored not stored refs pending

Cohen-Macaulay properties under the amalgamated construction

N. Shirmohammadi, P. Sahandi, Y. Azimi

arxiv:1612.03408 v1 · 2016-12-11 · 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{IF4OV3LQWKVZFJCEJBQDZG7ASD}

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	2026-05-18T00:55:19.329753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4178eaed70b2ab92a44448603c9be090cb6314f332adaf8c7139efceb5bc31bb

Aliases

arxiv: 1612.03408 · arxiv_version: 1612.03408v1 · doi: 10.48550/arxiv.1612.03408 · pith_short_12: IF4OV3LQWKVZ · pith_short_16: IF4OV3LQWKVZFJCE · pith_short_8: IF4OV3LQ

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/IF4OV3LQWKVZFJCEJBQDZG7ASD \
  | 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: 4178eaed70b2ab92a44448603c9be090cb6314f332adaf8c7139efceb5bc31bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b51b6d37cf5b273cb1b57d73e05d3cca54000c014dc0b8a695b1c712561754ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-12-11T12:54:04Z",
    "title_canon_sha256": "e9fdd11a142f6747036d107e47b8b4b69ab261d3e2839cacfc01b69edea275a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03408",
    "kind": "arxiv",
    "version": 1
  }
}