Pith Number

pith:YVSZVCMN

pith:2015:YVSZVCMNXB5CR2CNTDMNIXZ7WB

not attested not anchored not stored refs pending

Torsion of rational elliptic curves over quartic Galois number fields

Michael Chou

arxiv:1511.01126 v1 · 2015-11-03 · 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{YVSZVCMNXB5CR2CNTDMNIXZ7WB}

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	2026-05-18T01:27:48.021939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5659a898db87a28e84d98d8d45f3fb05456e4ca9f6df27247ee4ab49a1cd9cc

Aliases

arxiv: 1511.01126 · arxiv_version: 1511.01126v1 · doi: 10.48550/arxiv.1511.01126 · pith_short_12: YVSZVCMNXB5C · pith_short_16: YVSZVCMNXB5CR2CN · pith_short_8: YVSZVCMN

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/YVSZVCMNXB5CR2CNTDMNIXZ7WB \
  | 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: c5659a898db87a28e84d98d8d45f3fb05456e4ca9f6df27247ee4ab49a1cd9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455bae8f8698c91e1eb8bf76244f7e97ccfdf978a3bc6b34143c789aacb57277",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-03T21:36:32Z",
    "title_canon_sha256": "0c849a3d1233c5c55e66bf6e10a4111123191d7d81dc5ef0eee6982a1b8d895a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01126",
    "kind": "arxiv",
    "version": 1
  }
}