Pith Number

pith:3LAQIBEZ

pith:2017:3LAQIBEZWV7Z2X7JO54YKCJNOE

not attested not anchored not stored refs pending

De-noetherizing Cohen-Macaulay rings

Bruce Olberding, Laszlo Fuchs

arxiv:1712.01753 v1 · 2017-12-05 · 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{3LAQIBEZWV7Z2X7JO54YKCJNOE}

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	2026-05-18T00:28:47.658028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac1040499b57f9d5fe9777985092d7134e53f2e97acc5d3883d5dd5c39c1e92

Aliases

arxiv: 1712.01753 · arxiv_version: 1712.01753v1 · doi: 10.48550/arxiv.1712.01753 · pith_short_12: 3LAQIBEZWV7Z · pith_short_16: 3LAQIBEZWV7Z2X7J · pith_short_8: 3LAQIBEZ

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/3LAQIBEZWV7Z2X7JO54YKCJNOE \
  | 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: dac1040499b57f9d5fe9777985092d7134e53f2e97acc5d3883d5dd5c39c1e92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db6d26685afdecdcb319cf4ffdbfe62dfdb2616a31d37fb07c56b7de47df8eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-05T16:51:33Z",
    "title_canon_sha256": "0ef975c3755d9107830b22be7b9a144989b16b0a55ecc276b3c989cb9b9b4a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01753",
    "kind": "arxiv",
    "version": 1
  }
}