Pith Number

pith:NPSOLSBV

pith:2013:NPSOLSBV7YYND2E7L6QUCPC2HR

not attested not anchored not stored refs pending

On the rank of the fibres of rational elliptic surfaces

Cecilia Salgado

arxiv:1307.5912 v1 · 2013-07-23 · math.NT · 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{NPSOLSBV7YYND2E7L6QUCPC2HR}

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	2026-05-18T03:17:45.812526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be4e5c835fe30d1e89f5fa1413c5a3c436633ad0cf46c9290019160ca655252

Aliases

arxiv: 1307.5912 · arxiv_version: 1307.5912v1 · doi: 10.48550/arxiv.1307.5912 · pith_short_12: NPSOLSBV7YYN · pith_short_16: NPSOLSBV7YYND2E7 · pith_short_8: NPSOLSBV

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/NPSOLSBV7YYND2E7L6QUCPC2HR \
  | 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: 6be4e5c835fe30d1e89f5fa1413c5a3c436633ad0cf46c9290019160ca655252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de590038bee83138364930c1268831937d0beb14e92f32d4039f141bce15e29b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-23T00:06:37Z",
    "title_canon_sha256": "7cbdf44aacc1bf39089b3699c5614cd04609c38b69257b0773ce05b7f184d1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5912",
    "kind": "arxiv",
    "version": 1
  }
}