Pith Number

pith:CRKYO5VB

pith:2019:CRKYO5VBWHGSVK3KT72AHCML35

not attested not anchored not stored refs pending

The birational geometry of noncommutative surfaces

Eric M. Rains

arxiv:1907.11301 v1 · 2019-07-25 · math.AG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRKYO5VBWHGSVK3KT72AHCML35}

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	2026-05-17T23:39:29.564355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14558776a1b1cd2aab6a9ff403898bdf7e25229143afec6af5ee0d1e340a5f9f

Aliases

arxiv: 1907.11301 · arxiv_version: 1907.11301v1 · doi: 10.48550/arxiv.1907.11301 · pith_short_12: CRKYO5VBWHGS · pith_short_16: CRKYO5VBWHGSVK3K · pith_short_8: CRKYO5VB

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/CRKYO5VBWHGSVK3KT72AHCML35 \
  | 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: 14558776a1b1cd2aab6a9ff403898bdf7e25229143afec6af5ee0d1e340a5f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f57c6cab85fd8e3a111c9181cdf495a8b9c07830940cf198f04e4f689ea585d",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-25T20:29:46Z",
    "title_canon_sha256": "4c8a80a91f13f3590c1d027611ad372c339e29d71251e522fe2d7bf5262d4678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11301",
    "kind": "arxiv",
    "version": 1
  }
}