Pith Number

pith:6C7E37BH

pith:2013:6C7E37BHF75GFLAYUX2EF227ZP

not attested not anchored not stored refs pending

Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme

Andreas-Stephan Elsenhans, J\"org Jahnel

arxiv:1312.2572 v1 · 2013-12-09 · 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{6C7E37BHF75GFLAYUX2EF227ZP}

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	2026-05-18T03:05:09.985782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0be4dfc272ffa62ac18a5f442eb5fcbe43aa6fe01e46643919ed2b7c0dbd448

Aliases

arxiv: 1312.2572 · arxiv_version: 1312.2572v1 · doi: 10.48550/arxiv.1312.2572 · pith_short_12: 6C7E37BHF75G · pith_short_16: 6C7E37BHF75GFLAY · pith_short_8: 6C7E37BH

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/6C7E37BHF75GFLAYUX2EF227ZP \
  | 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: f0be4dfc272ffa62ac18a5f442eb5fcbe43aa6fe01e46643919ed2b7c0dbd448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f18232963497f9c189f3bb832b6079b30784511f855f1a5e5f2998403196e4a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-09T20:36:46Z",
    "title_canon_sha256": "46aec094dd593acf2455c6e8c920e1c95cdfeac2963b9c2ac95e95c50cee30fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2572",
    "kind": "arxiv",
    "version": 1
  }
}