Pith Number

pith:QN3FLRJY

pith:2016:QN3FLRJYK5H4QJVZYUYCAWXZUK

not attested not anchored not stored refs pending

Point counting on $K3$ surfaces and an application concerning real and complex multiplication

Andreas-Stephan Elsenhans, J\"org Jahnel

arxiv:1602.04327 v2 · 2016-02-13 · 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{QN3FLRJYK5H4QJVZYUYCAWXZUK}

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	2026-05-18T01:14:43.975173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

837655c538574fc826b9c530205af9a2892ea51512ce295493de52464b83539f

Aliases

arxiv: 1602.04327 · arxiv_version: 1602.04327v2 · doi: 10.48550/arxiv.1602.04327 · pith_short_12: QN3FLRJYK5H4 · pith_short_16: QN3FLRJYK5H4QJVZ · pith_short_8: QN3FLRJY

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/QN3FLRJYK5H4QJVZYUYCAWXZUK \
  | 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: 837655c538574fc826b9c530205af9a2892ea51512ce295493de52464b83539f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b2184077648a1e508ed7ddcd348df812ddb8db4ba18e9f83ceb01bc01afc6c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-13T13:01:57Z",
    "title_canon_sha256": "93e8e08ff5f5a4c95ccf1461300849c3e9a0230a008be655d5d5530fb3dcd47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04327",
    "kind": "arxiv",
    "version": 2
  }
}