Pith Number

pith:T3B66FQ6

pith:2016:T3B66FQ6JV7DVXUN47FMDS7A2W

not attested not anchored not stored refs pending

Tamagawa Numbers of elliptic curves with $C_{13}$ torsion over quadratic fields

Filip Najman

arxiv:1605.05512 v2 · 2016-05-18 · 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{T3B66FQ6JV7DVXUN47FMDS7A2W}

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	2026-05-18T01:01:15.674451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec3ef161e4d7e3ade8de7cac1cbe0d58d351fa77775b3161b76aa3486808629

Aliases

arxiv: 1605.05512 · arxiv_version: 1605.05512v2 · doi: 10.48550/arxiv.1605.05512 · pith_short_12: T3B66FQ6JV7D · pith_short_16: T3B66FQ6JV7DVXUN · pith_short_8: T3B66FQ6

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/T3B66FQ6JV7DVXUN47FMDS7A2W \
  | 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: 9ec3ef161e4d7e3ade8de7cac1cbe0d58d351fa77775b3161b76aa3486808629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8022f0913f7802bf624872db4ca8a473941436e4a04e1f2fcf412c6dd09c38b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-18T10:47:36Z",
    "title_canon_sha256": "bbbd96a57ca9c00adb134e1c90014443f4247601ee7aff0bf23b80c959a19ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05512",
    "kind": "arxiv",
    "version": 2
  }
}