Pith Number

pith:FF53GMHV

pith:2010:FF53GMHVDQFQSODUVLUCS7ABZW

not attested not anchored not stored refs pending

Birationally trivial real smooth cubic surfaces

Irene Polo-Blanco, Jon Gonzalez-Sanchez

arxiv:1010.0294 v1 · 2010-10-02 · 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{FF53GMHVDQFQSODUVLUCS7ABZW}

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	2026-05-18T04:39:58.748765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297bb330f51c0b093874aae8297c01cd92367dbd320c0a9ee28221c89754b514

Aliases

arxiv: 1010.0294 · arxiv_version: 1010.0294v1 · doi: 10.48550/arxiv.1010.0294 · pith_short_12: FF53GMHVDQFQ · pith_short_16: FF53GMHVDQFQSODU · pith_short_8: FF53GMHV

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/FF53GMHVDQFQSODUVLUCS7ABZW \
  | 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: 297bb330f51c0b093874aae8297c01cd92367dbd320c0a9ee28221c89754b514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5e60ab0414dd2e1c0a1d5f127ae61ac12d33007544ef1e7bea0b3ff5976738",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-02T06:25:07Z",
    "title_canon_sha256": "d24b59d9ae331fbe19204f24c5bb4a02e2fc692adf96d334d4bfe8852bda48e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0294",
    "kind": "arxiv",
    "version": 1
  }
}