Pith Number

pith:TW5RORUC

pith:2016:TW5RORUC2FU7XRND5ZENSPSVMK

not attested not anchored not stored refs pending

Extensions of CM elliptic curves and orbit counting on the projective line

Ariel Shnidman, Julian Rosen

arxiv:1608.01390 v1 · 2016-08-03 · 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{TW5RORUC2FU7XRND5ZENSPSVMK}

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	2026-05-18T00:03:29.792664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dbb174682d169fbc5a3ee48d93e556280cce4d9b5e25ac81c7c51dfabefefbc

Aliases

arxiv: 1608.01390 · arxiv_version: 1608.01390v1 · doi: 10.48550/arxiv.1608.01390 · pith_short_12: TW5RORUC2FU7 · pith_short_16: TW5RORUC2FU7XRND · pith_short_8: TW5RORUC

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/TW5RORUC2FU7XRND5ZENSPSVMK \
  | 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: 9dbb174682d169fbc5a3ee48d93e556280cce4d9b5e25ac81c7c51dfabefefbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcfdf172affcf6cac470f32d2b123d49de962450976e4f411d686b4497627be6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-03T22:54:51Z",
    "title_canon_sha256": "fda5437bc17c214e4c474230aa8f6f6814930c123df40f9cd63211929924fa57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01390",
    "kind": "arxiv",
    "version": 1
  }
}