Pith Number

pith:5LNMDTUP

pith:2017:5LNMDTUPDVZBDX7YKCA4PEYYZF

not attested not anchored not stored refs pending

Linear systems on rational elliptic surfaces and elliptic fibrations on K3 surfaces

Alice Garbagnati, Cec\'ilia Salgado

arxiv:1703.02783 v1 · 2017-03-08 · 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{5LNMDTUPDVZBDX7YKCA4PEYYZF}

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	2026-05-18T00:49:05.628730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eadac1ce8f1d7211dff85081c79318c94304ea9e6bc5eb7905355c5f340c34dc

Aliases

arxiv: 1703.02783 · arxiv_version: 1703.02783v1 · doi: 10.48550/arxiv.1703.02783 · pith_short_12: 5LNMDTUPDVZB · pith_short_16: 5LNMDTUPDVZBDX7Y · pith_short_8: 5LNMDTUP

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/5LNMDTUPDVZBDX7YKCA4PEYYZF \
  | 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: eadac1ce8f1d7211dff85081c79318c94304ea9e6bc5eb7905355c5f340c34dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078b3c7992148c3a7c73c9fd528e0a75e91aaf34fd3e24749bd25d78bf70c952",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-08T10:50:14Z",
    "title_canon_sha256": "d1d0a1fc64617bfd78569abbb2d2bf11c5a163a8b090a17881785a50b3eeec8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02783",
    "kind": "arxiv",
    "version": 1
  }
}