Pith Number

pith:ERM4OHAH

pith:2012:ERM4OHAH7EORY5S47KKF2Y7MHD

not attested not anchored not stored refs pending

Integrally closed rings in birational extensions of two-dimensional regular local rings

Bruce Olberding, Francesca Tartarone

arxiv:1211.6054 v1 · 2012-11-26 · 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{ERM4OHAH7EORY5S47KKF2Y7MHD}

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	2026-05-18T00:45:52.603031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2459c71c07f91d1c765cfa945d63ec38fa1d2d85f515495449e5991412812c38

Aliases

arxiv: 1211.6054 · arxiv_version: 1211.6054v1 · doi: 10.48550/arxiv.1211.6054 · pith_short_12: ERM4OHAH7EOR · pith_short_16: ERM4OHAH7EORY5S4 · pith_short_8: ERM4OHAH

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/ERM4OHAH7EORY5S47KKF2Y7MHD \
  | 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: 2459c71c07f91d1c765cfa945d63ec38fa1d2d85f515495449e5991412812c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ca231f8f5ecee4a08fd79f8a5e1ee02cdcbd72ac6445344e0277bc85de16dc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-26T18:26:14Z",
    "title_canon_sha256": "031fc0c59c513101b577f51af96511f0fddc60ffe185b4eea45f4ddc2b3f4dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6054",
    "kind": "arxiv",
    "version": 1
  }
}