Pith Number

pith:CYD7B6TW

pith:2016:CYD7B6TWDIJYQFLALV5MI2Q2H6

not attested not anchored not stored refs pending

Ring-theoretic blowing down: I

D. Rogalski, J. T. Stafford, S. J. Sierra

arxiv:1603.08128 v2 · 2016-03-26 · math.RA · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYD7B6TWDIJYQFLALV5MI2Q2H6}

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	2026-05-18T00:58:04.221571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1607f0fa761a138815605d7ac46a1a3f93f5a3724fb727c7384d87420ee31239

Aliases

arxiv: 1603.08128 · arxiv_version: 1603.08128v2 · doi: 10.48550/arxiv.1603.08128 · pith_short_12: CYD7B6TWDIJY · pith_short_16: CYD7B6TWDIJYQFLA · pith_short_8: CYD7B6TW

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/CYD7B6TWDIJYQFLALV5MI2Q2H6 \
  | 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: 1607f0fa761a138815605d7ac46a1a3f93f5a3724fb727c7384d87420ee31239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f80780df61e6cdb1288e83863abfdbb914ded6e447212e572c280d740242ad0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-03-26T17:59:12Z",
    "title_canon_sha256": "5804d6322dd2743e1953e462cc43fb48981885535899ec50582200d462a1821f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08128",
    "kind": "arxiv",
    "version": 2
  }
}