Pith Number

pith:JYKMG5HG

pith:2019:JYKMG5HGZGGDLMWJASSL475AEV

not attested not anchored not stored refs pending

Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves

Guanju Xiao, Lixia Luo, Yingpu Deng

arxiv:1912.03073 v5 · 2019-12-06 · 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{JYKMG5HGZGGDLMWJASSL475AEV}

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	2026-07-05T07:22:10.358480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e14c374e6c98c35b2c904a4be7fa025414e2e3dbed0fd585c6d696e097f8c07

Aliases

arxiv: 1912.03073 · arxiv_version: 1912.03073v5 · doi: 10.48550/arxiv.1912.03073 · pith_short_12: JYKMG5HGZGGD · pith_short_16: JYKMG5HGZGGDLMWJ · pith_short_8: JYKMG5HG

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/JYKMG5HGZGGDLMWJASSL475AEV \
  | 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: 4e14c374e6c98c35b2c904a4be7fa025414e2e3dbed0fd585c6d696e097f8c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db140e154422a8d9a7ed55ee4c9dbce2fc923f8209f181bf996f49407c3cdb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-12-06T11:51:15Z",
    "title_canon_sha256": "88827a93e1bcc8591f1106e0509005f2f6222e4330b755d93a8f222456a9a36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.03073",
    "kind": "arxiv",
    "version": 5
  }
}