Pith Number

pith:WLEER33S

pith:2017:WLEER33SNAHKHFJA3UBUI2RL5W

not attested not anchored not stored refs pending

On a local invariant of elliptic curves with a p-isogeny

Matthew Gealy, Zev Klagsbrun

arxiv:1703.02148 v1 · 2017-03-06 · 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{WLEER33SNAHKHFJA3UBUI2RL5W}

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	2026-05-18T00:49:20.634627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2c848ef72680ea39520dd03446a2bedbdc79506945cb8b301a06d568e5e4e22

Aliases

arxiv: 1703.02148 · arxiv_version: 1703.02148v1 · doi: 10.48550/arxiv.1703.02148 · pith_short_12: WLEER33SNAHK · pith_short_16: WLEER33SNAHKHFJA · pith_short_8: WLEER33S

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/WLEER33SNAHKHFJA3UBUI2RL5W \
  | 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: b2c848ef72680ea39520dd03446a2bedbdc79506945cb8b301a06d568e5e4e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dee66e8326a2eaa7458e1b2eaa28df95ba79b15e92b8d21532f3429e7707dae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-06T23:47:10Z",
    "title_canon_sha256": "89407f312f6f48d1c21d21268151ec02f68991154159b30e6ca203ba6c6a24f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02148",
    "kind": "arxiv",
    "version": 1
  }
}