Pith Number

pith:MGQNRXWI

pith:2019:MGQNRXWILKPVDCBYB3CERFTIF6

not attested not anchored not stored refs pending

Birational geometry of blow-ups of projective spaces along points and lines

Lei Yang, Zhuang He

arxiv:1910.11854 v3 · 2019-10-25 · 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{MGQNRXWILKPVDCBYB3CERFTIF6}

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	2026-07-05T02:07:26.552465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a0d8dec85a9f5188380ec44896682fbd554610c3a386e79c8349a5525478a1

Aliases

arxiv: 1910.11854 · arxiv_version: 1910.11854v3 · doi: 10.48550/arxiv.1910.11854 · pith_short_12: MGQNRXWILKPV · pith_short_16: MGQNRXWILKPVDCBY · pith_short_8: MGQNRXWI

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/MGQNRXWILKPVDCBYB3CERFTIF6 \
  | 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: 61a0d8dec85a9f5188380ec44896682fbd554610c3a386e79c8349a5525478a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c965c214f64c88d32605280e08738a683f2f2e6a8d524ccfdd4136fd01055db9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-10-25T17:25:15Z",
    "title_canon_sha256": "672fd3268a316eb4cd6578db90ec719968e0a5613a35d52cd37caab2db31032e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11854",
    "kind": "arxiv",
    "version": 3
  }
}