Pith Number

pith:ZPRYDMAU

pith:2016:ZPRYDMAUXSAVLXEXSVOM7KIKYU

not attested not anchored not stored refs pending

Counting rational points on quartic del Pezzo surfaces with a rational conic

E. Sofos, T. D. Browning

arxiv:1609.09057 v4 · 2016-09-28 · 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{ZPRYDMAUXSAVLXEXSVOM7KIKYU}

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	2026-05-18T00:10:48.047166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe381b014bc8155dc97955ccfa90ac52799021b1998e19e7b8adbbbdd64ceb1

Aliases

arxiv: 1609.09057 · arxiv_version: 1609.09057v4 · doi: 10.48550/arxiv.1609.09057 · pith_short_12: ZPRYDMAUXSAV · pith_short_16: ZPRYDMAUXSAVLXEX · pith_short_8: ZPRYDMAU

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/ZPRYDMAUXSAVLXEXSVOM7KIKYU \
  | 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: cbe381b014bc8155dc97955ccfa90ac52799021b1998e19e7b8adbbbdd64ceb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e7766d2b789962a0959cf1ca38f03127f935d9adf25c0aa18d043b25873a5a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-28T19:58:04Z",
    "title_canon_sha256": "2f599f24e4e4ed0e537d71215c823bd2c5ac1f2710bbe3b1dfc72618c8bb5f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09057",
    "kind": "arxiv",
    "version": 4
  }
}