Pith Number

pith:XJ66GAJB

pith:2026:XJ66GAJB5TGJG6XE2EU7JTTPBH

not attested not anchored not stored refs pending

The Calculus of Blowups on a Ruled Surface

Richard A. P. Birkett

arxiv:2605.26598 v1 · 2026-05-26 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ66GAJB5TGJG6XE2EU7JTTPBH}

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	2026-05-27T01:06:01.361637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7de30121eccc937ae4d129f4ce6f09fce82cc8e8f2ef8066916a08c942f5ee

Aliases

arxiv: 2605.26598 · arxiv_version: 2605.26598v1 · doi: 10.48550/arxiv.2605.26598 · pith_short_12: XJ66GAJB5TGJ · pith_short_16: XJ66GAJB5TGJG6XE · pith_short_8: XJ66GAJB

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/XJ66GAJB5TGJG6XE2EU7JTTPBH \
  | 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: ba7de30121eccc937ae4d129f4ce6f09fce82cc8e8f2ef8066916a08c942f5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a62101f862b63d1e5120ca579527fb3d04249c5dd709c3242bd1f1d9422a9bf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-26T06:32:05Z",
    "title_canon_sha256": "88547ef43f3431875b0d494df648a8a3280d2af57e81ec61139f56b34be465b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26598",
    "kind": "arxiv",
    "version": 1
  }
}