Pith Number

pith:NIL2RYK5

pith:2018:NIL2RYK5DXFIM72ZN4YHP3ZFRQ

not attested not anchored not stored refs pending

Commutative rings over which the support of any module is the collection of prime ideals containing the annihilator

Souvik Dey

arxiv:1802.03631 v2 · 2018-02-10 · 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{NIL2RYK5DXFIM72ZN4YHP3ZFRQ}

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	2026-05-18T00:11:17.970109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a17a8e15d1dca867f596f3077ef258c141b5aea990ecb3c1c2929be005a3332

Aliases

arxiv: 1802.03631 · arxiv_version: 1802.03631v2 · doi: 10.48550/arxiv.1802.03631 · pith_short_12: NIL2RYK5DXFI · pith_short_16: NIL2RYK5DXFIM72Z · pith_short_8: NIL2RYK5

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/NIL2RYK5DXFIM72ZN4YHP3ZFRQ \
  | 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: 6a17a8e15d1dca867f596f3077ef258c141b5aea990ecb3c1c2929be005a3332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef5c829a05de625b9c5eb36a57eda32d526294238d2a01606eda6d5381d4e75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-10T18:12:50Z",
    "title_canon_sha256": "0c293137d361652b9324980e78e2ecdc72f7b78f6d66efecd8bb60921b8d8817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03631",
    "kind": "arxiv",
    "version": 2
  }
}