Pith Number

pith:VYVXMYD2

pith:2014:VYVXMYD2OWLCMWGXBTAY6IVQQW

not attested not anchored not stored refs pending

The Hasse principle for lines on del Pezzo surfaces

Daniel Loughran, J\"org Jahnel

arxiv:1410.5671 v2 · 2014-10-21 · 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{VYVXMYD2OWLCMWGXBTAY6IVQQW}

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	2026-05-18T02:26:12.592273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae2b76607a75962658d70cc18f22b085affebaf5d4f3cc167f2c342ee3783543

Aliases

arxiv: 1410.5671 · arxiv_version: 1410.5671v2 · doi: 10.48550/arxiv.1410.5671 · pith_short_12: VYVXMYD2OWLC · pith_short_16: VYVXMYD2OWLCMWGX · pith_short_8: VYVXMYD2

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/VYVXMYD2OWLCMWGXBTAY6IVQQW \
  | 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: ae2b76607a75962658d70cc18f22b085affebaf5d4f3cc167f2c342ee3783543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b04ac0f7683a5583d15d42a4b57a6436fe2fa0a6093ed952aa5f6871b234f0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-21T14:12:11Z",
    "title_canon_sha256": "afdce63fdb714cd1a2b5932b95d2fc3b408178498bad4678dbb4701fc7216542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5671",
    "kind": "arxiv",
    "version": 2
  }
}