Pith Number

pith:JM5CXJRG

pith:2015:JM5CXJRGMIMQRLT5H45CYVVJZK

not attested not anchored not stored refs pending

On the number of certain Del Pezzo surfaces of degree four violating the Hasse principle

Damaris Schindler, J\"org Jahnel

arxiv:1507.03869 v1 · 2015-07-14 · 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{JM5CXJRGMIMQRLT5H45CYVVJZK}

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	2026-05-18T01:36:52.372752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3a2ba626621908ae7d3f3a2c56a9caa8c5beb6df454fef4ea2b420183121f4

Aliases

arxiv: 1507.03869 · arxiv_version: 1507.03869v1 · doi: 10.48550/arxiv.1507.03869 · pith_short_12: JM5CXJRGMIMQ · pith_short_16: JM5CXJRGMIMQRLT5 · pith_short_8: JM5CXJRG

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/JM5CXJRGMIMQRLT5H45CYVVJZK \
  | 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: 4b3a2ba626621908ae7d3f3a2c56a9caa8c5beb6df454fef4ea2b420183121f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02fff9e69273566b0002e959ef1e5316f5b53cb8d0b827a8885a8ecca511df50",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-14T14:47:16Z",
    "title_canon_sha256": "2c7e0e82daf35147f13016eed66d469533867857e0a23cc2af87b9a43b3ef774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03869",
    "kind": "arxiv",
    "version": 1
  }
}