Pith Number

pith:IU3X3G4L

pith:2021:IU3X3G4LJ7AUBIP5KWFAKYCAYZ

not attested not anchored not stored refs pending

Rational lines on smooth cubic surfaces

Stephen McKean

arxiv:2101.08217 v4 · 2021-01-20 · 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{IU3X3G4LJ7AUBIP5KWFAKYCAYZ}

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	2026-07-05T10:21:53.276865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45377d9b8b4fc140a1fd558a056040c6455aac5f14901459ea395f66bc643fa4

Aliases

arxiv: 2101.08217 · arxiv_version: 2101.08217v4 · doi: 10.48550/arxiv.2101.08217 · pith_short_12: IU3X3G4LJ7AU · pith_short_16: IU3X3G4LJ7AUBIP5 · pith_short_8: IU3X3G4L

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/IU3X3G4LJ7AUBIP5KWFAKYCAYZ \
  | 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: 45377d9b8b4fc140a1fd558a056040c6455aac5f14901459ea395f66bc643fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388f18f0507cc5dd117d397c87facc403f6e9b1e80ac5297675960eae1f62d20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-01-20T17:01:02Z",
    "title_canon_sha256": "c33d335e36ac48402e1dbc645c16b04f0ba1b5bea9afcb69d6cd0b5d847d675c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08217",
    "kind": "arxiv",
    "version": 4
  }
}