Pith Number

pith:ATI3GQLF

pith:2013:ATI3GQLF23IRF6UTR6UUOX2Z2N

not attested not anchored not stored refs pending

Cox rings of rational surfaces and redundant blow-ups

Dongseon Hwang, Jinhyung Park

arxiv:1303.2274 v2 · 2013-03-09 · 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{ATI3GQLF23IRF6UTR6UUOX2Z2N}

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	2026-05-18T02:37:43.052468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d1b34165d6d112fa938fa9475f59d3798f74b40a42562df39b11e9d39008a6

Aliases

arxiv: 1303.2274 · arxiv_version: 1303.2274v2 · doi: 10.48550/arxiv.1303.2274 · pith_short_12: ATI3GQLF23IR · pith_short_16: ATI3GQLF23IRF6UT · pith_short_8: ATI3GQLF

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/ATI3GQLF23IRF6UTR6UUOX2Z2N \
  | 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: 04d1b34165d6d112fa938fa9475f59d3798f74b40a42562df39b11e9d39008a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ecf86bbd50b251d49a656822bf654149913a615f95684c3b81784c71b9bbd4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-09T23:07:21Z",
    "title_canon_sha256": "9e1b727357fa10ad1f955283c6aa86497e856899ddd415405984cccd58184d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2274",
    "kind": "arxiv",
    "version": 2
  }
}