Pith Number

pith:YR7IRWBK

pith:2021:YR7IRWBKKWRGA5WNFLPPJ3EYP2

not attested not anchored not stored refs pending

Doubly isogenous genus-2 curves with $D_4$-action

Caleb Springer, Everett W. Howe, Jeremy Booher, Rachel Pries, Steven R. Groen, Vishal Arul, Vlad Matei, Wanlin Li

arxiv:2102.11419 v2 · 2021-02-22 · 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{YR7IRWBKKWRGA5WNFLPPJ3EYP2}

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	2026-07-05T05:36:14.510007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47e88d82a55a26076cd2adef4ec987e9f6c56a8bd6106cffc282030821a8c54

Aliases

arxiv: 2102.11419 · arxiv_version: 2102.11419v2 · doi: 10.48550/arxiv.2102.11419 · pith_short_12: YR7IRWBKKWRG · pith_short_16: YR7IRWBKKWRGA5WN · pith_short_8: YR7IRWBK

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/YR7IRWBKKWRGA5WNFLPPJ3EYP2 \
  | 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: c47e88d82a55a26076cd2adef4ec987e9f6c56a8bd6106cffc282030821a8c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "422c6553460d6c34235bca9a62d0be41941880c10bc294f69aa3ee1bd452b560",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-02-22T23:53:53Z",
    "title_canon_sha256": "824a46da60d3b02a74ef59641ce3ef040b1bdc1e1af5c39ba94dc0f31b51ea3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.11419",
    "kind": "arxiv",
    "version": 2
  }
}