Pith Number

pith:GM5RSHQW

pith:2012:GM5RSHQWZEY5ODNCTM4YSV7KJR

not attested not anchored not stored refs pending

Naive blowups and canonical birationally commutative factors

S. J. Sierra, T. A. Nevins

arxiv:1206.0760 v2 · 2012-06-04 · 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{GM5RSHQWZEY5ODNCTM4YSV7KJR}

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	2026-05-18T02:54:21.783899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333b191e16c931d70da29b398957ea4c655663449baec064ebf8672ba35e4086

Aliases

arxiv: 1206.0760 · arxiv_version: 1206.0760v2 · doi: 10.48550/arxiv.1206.0760 · pith_short_12: GM5RSHQWZEY5 · pith_short_16: GM5RSHQWZEY5ODNC · pith_short_8: GM5RSHQW

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/GM5RSHQWZEY5ODNCTM4YSV7KJR \
  | 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: 333b191e16c931d70da29b398957ea4c655663449baec064ebf8672ba35e4086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b72618cafacdfb9f28043b39853c8e525c805ba826d521463734f94bcc374bbd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-04T20:47:24Z",
    "title_canon_sha256": "78fd85f378503d08cefb96b4e104df065ab51783da51e3e47f4e836bad151855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0760",
    "kind": "arxiv",
    "version": 2
  }
}