Pith Number

pith:5AQNGWCM

pith:2017:5AQNGWCMS7QTOJ7V2YHLQU6GNM

not attested not anchored not stored refs pending

The Ohm-Rush content function II. Noetherian rings, valuation domains, and base change

Jay Shapiro, Neil Epstein

arxiv:1703.02114 v3 · 2017-03-06 · 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{5AQNGWCMS7QTOJ7V2YHLQU6GNM}

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	2026-05-18T00:16:19.561870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e820d3584c97e13727f5d60eb853c66b2b6ef62f1bb75fe44e8e1308851874a4

Aliases

arxiv: 1703.02114 · arxiv_version: 1703.02114v3 · doi: 10.48550/arxiv.1703.02114 · pith_short_12: 5AQNGWCMS7QT · pith_short_16: 5AQNGWCMS7QTOJ7V · pith_short_8: 5AQNGWCM

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/5AQNGWCMS7QTOJ7V2YHLQU6GNM \
  | 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: e820d3584c97e13727f5d60eb853c66b2b6ef62f1bb75fe44e8e1308851874a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ec569efd87d6960bb38cb388a8b7e05895a2021a892e743a77688e757258dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-03-06T21:26:01Z",
    "title_canon_sha256": "54a82368721b289c6e8d861a21aa21fbf1a31572ed7c7e931f5c42fc390d6f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02114",
    "kind": "arxiv",
    "version": 3
  }
}