Pith Number

pith:N6XAKZIS

pith:2017:N6XAKZISPCZICCJF3CABSA7APF

not attested not anchored not stored refs pending

Directed unions of local quadratic transforms of regular local rings and pullbacks

Bruce Olberding, Lorenzo Guerrieri, Matt Toeniskoetter, William Heinzer

arxiv:1702.03058 v1 · 2017-02-10 · 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{N6XAKZISPCZICCJF3CABSA7APF}

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	2026-05-18T00:50:58.744489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fae05651278b2810925d8801903e0796c8cc1cc5a9d637029dec0d158f7ce10

Aliases

arxiv: 1702.03058 · arxiv_version: 1702.03058v1 · doi: 10.48550/arxiv.1702.03058 · pith_short_12: N6XAKZISPCZI · pith_short_16: N6XAKZISPCZICCJF · pith_short_8: N6XAKZIS

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/N6XAKZISPCZICCJF3CABSA7APF \
  | 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: 6fae05651278b2810925d8801903e0796c8cc1cc5a9d637029dec0d158f7ce10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08a2b59c2780beaac7125962164b0fa6008d2709c44d2770eec5bff6ad85d2cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-02-10T03:36:39Z",
    "title_canon_sha256": "8c46f2f3a5fe6416f12f54f9983403a5965a013108f88ba1003d8efdb97ee70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03058",
    "kind": "arxiv",
    "version": 1
  }
}