Pith Number

pith:WSEWVRNY

pith:2022:WSEWVRNYIGMZA2XCI4X5BYSHXK

not attested not anchored not stored refs pending

On the local-global principle for isogenies of abelian surfaces

Davide Lombardo, Matteo Verzobio

arxiv:2206.15240 v2 · 2022-06-30 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSEWVRNYIGMZA2XCI4X5BYSHXK}

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	2026-07-05T07:57:37.813113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4896ac5b84199906ae2472fd0e247ba88fab42b5d75eff62b913aab2f78b683

Aliases

arxiv: 2206.15240 · arxiv_version: 2206.15240v2 · doi: 10.48550/arxiv.2206.15240 · pith_short_12: WSEWVRNYIGMZ · pith_short_16: WSEWVRNYIGMZA2XC · pith_short_8: WSEWVRNY

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/WSEWVRNYIGMZA2XCI4X5BYSHXK \
  | 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: b4896ac5b84199906ae2472fd0e247ba88fab42b5d75eff62b913aab2f78b683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e338b8b409dfdb800ff4cb96f6b795487ce801281539e7c7696fc808796ac8be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-30T12:39:14Z",
    "title_canon_sha256": "f8a87c04e99670a1b65c15e94ffabef71f4e4f632dcb14497ba81101e9cdcfcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15240",
    "kind": "arxiv",
    "version": 2
  }
}