Pith Number

pith:TXT6K2FE

pith:2023:TXT6K2FEAZGA3ZQBTWLGAWKAYA

not attested not anchored not stored refs pending

Cubic surfaces failing the integral Hasse principle

H. Uppal, Julian Lyczak, Vladimir Mitankin

arxiv:2311.10008 v4 · 2023-11-16 · 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{TXT6K2FEAZGA3ZQBTWLGAWKAYA}

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	2026-06-01T02:03:17.242602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de7e568a4064c0de6019d96605940c025a127d85fe546003e5481171f220b8e

Aliases

arxiv: 2311.10008 · arxiv_version: 2311.10008v4 · doi: 10.48550/arxiv.2311.10008 · pith_short_12: TXT6K2FEAZGA · pith_short_16: TXT6K2FEAZGA3ZQB · pith_short_8: TXT6K2FE

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/TXT6K2FEAZGA3ZQBTWLGAWKAYA \
  | 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: 9de7e568a4064c0de6019d96605940c025a127d85fe546003e5481171f220b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff8b20f1a3c18fbad7b4277e053d965f5604765645fac4f4a27c61e71fad3a6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-16T16:43:55Z",
    "title_canon_sha256": "625969cb0bf47e36b29fc37bc00276ff755ed808412a6e60e8dbb4fbf1b4b722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.10008",
    "kind": "arxiv",
    "version": 4
  }
}