Pith Number

pith:U4XX2FLV

pith:2013:U4XX2FLVE73HOIXDBHEJHFOEFL

not attested not anchored not stored refs pending

On the rank of the fibers of elliptic K3 surfaces

Cecilia Salgado

arxiv:1307.3994 v1 · 2013-07-15 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4XX2FLVE73HOIXDBHEJHFOEFL}

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	2026-05-18T03:18:27.238463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72f7d157527f67722e309c89395c42adfc1897d14ae55b310fba415f6afa371

Aliases

arxiv: 1307.3994 · arxiv_version: 1307.3994v1 · doi: 10.48550/arxiv.1307.3994 · pith_short_12: U4XX2FLVE73H · pith_short_16: U4XX2FLVE73HOIXD · pith_short_8: U4XX2FLV

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/U4XX2FLVE73HOIXDBHEJHFOEFL \
  | 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: a72f7d157527f67722e309c89395c42adfc1897d14ae55b310fba415f6afa371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119c516e141445457796ecd4efc25b382d603d0ead96eefb27c2beb6d0f6848a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-15T15:36:10Z",
    "title_canon_sha256": "5c672677c9e84195501c6a6b700f991cf0314745c87efd647f3fa31e1e79ae4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3994",
    "kind": "arxiv",
    "version": 1
  }
}