Pith Number

pith:DXYRZW6X

pith:2015:DXYRZW6X4J7IQIJKBMKCVWWWKQ

not attested not anchored not stored refs pending

Calabi-Yau Threefolds Fibred by Kummer Surfaces Associated to Products of Elliptic Curves

Alan Thompson, Andrew Harder, Andrey Y. Novoseltsev, Charles F. Doran

arxiv:1501.04024 v2 · 2015-01-16 · 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{DXYRZW6X4J7IQIJKBMKCVWWWKQ}

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	2026-05-18T00:04:42.230037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df11cdbd7e27e88212a0b142adad6542f754467d2de4a0710eab3b4723be4c0

Aliases

arxiv: 1501.04024 · arxiv_version: 1501.04024v2 · doi: 10.48550/arxiv.1501.04024 · pith_short_12: DXYRZW6X4J7I · pith_short_16: DXYRZW6X4J7IQIJK · pith_short_8: DXYRZW6X

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/DXYRZW6X4J7IQIJKBMKCVWWWKQ \
  | 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: 1df11cdbd7e27e88212a0b142adad6542f754467d2de4a0710eab3b4723be4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "521e7a2248f6ac3625e45376035c58ea172883470b40edeef7e62c7137290c2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-16T15:52:43Z",
    "title_canon_sha256": "e501fe1bc7b93311afb7997605d62e9069f3ba166bf24d075532009659d08b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04024",
    "kind": "arxiv",
    "version": 2
  }
}