Pith Number

pith:AQJSPPDZ

pith:2020:AQJSPPDZB2K3MASQ3YZT5BKUKC

not attested not anchored not stored refs pending

On two problems about isogenies of elliptic curves over finite fields

Guanju Xiao, Lixia Luo, Yingpu Deng

arxiv:2001.00126 v1 · 2020-01-01 · 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{AQJSPPDZB2K3MASQ3YZT5BKUKC}

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	2026-07-05T00:29:11.992471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041327bc790e95b60250de333e855450a77e637670e89cdce20c5a5446fce0f6

Aliases

arxiv: 2001.00126 · arxiv_version: 2001.00126v1 · doi: 10.48550/arxiv.2001.00126 · pith_short_12: AQJSPPDZB2K3 · pith_short_16: AQJSPPDZB2K3MASQ · pith_short_8: AQJSPPDZ

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/AQJSPPDZB2K3MASQ3YZT5BKUKC \
  | 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: 041327bc790e95b60250de333e855450a77e637670e89cdce20c5a5446fce0f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c049d54a6ec06af7040e4f18c7993150a45abad3d4190ae30d15d59d78768a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-01-01T02:34:31Z",
    "title_canon_sha256": "904479c841a68b2da466131eb843132c270baa5292b06ca2a5158b027ad28cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.00126",
    "kind": "arxiv",
    "version": 1
  }
}