Pith Number

pith:5C6XDCQ3

pith:2025:5C6XDCQ33FHSQLKCAMPXHJPNCL

not attested not anchored not stored refs pending

Orbits of smooth rational curves on Enriques surfaces

Simon Brandhorst, V\'ictor Gonz\'alez-Alonso

arxiv:2507.07516 v1 · 2025-07-10 · 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{5C6XDCQ33FHSQLKCAMPXHJPNCL}

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	2026-07-05T11:34:59.814345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bd718a1bd94f282d42031f73a5ed12edeb784bcb061b6ca85cecb5dc243655

Aliases

arxiv: 2507.07516 · arxiv_version: 2507.07516v1 · doi: 10.48550/arxiv.2507.07516 · pith_short_12: 5C6XDCQ33FHS · pith_short_16: 5C6XDCQ33FHSQLKC · pith_short_8: 5C6XDCQ3

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/5C6XDCQ33FHSQLKCAMPXHJPNCL \
  | 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: e8bd718a1bd94f282d42031f73a5ed12edeb784bcb061b6ca85cecb5dc243655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef15c1ec5303dc4aca406d79cc409b39784936cd2f6ec182743436f68f2de9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-10T08:04:00Z",
    "title_canon_sha256": "ae3b059f3cd6010d8c817391c7677501048a85ccce8a2e55af154e275f2c9991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07516",
    "kind": "arxiv",
    "version": 1
  }
}