Pith Number

pith:ADYUEYHO

pith:2025:ADYUEYHOCDNT6MNRYLNC5XJGG5

not attested not anchored not stored refs pending

Small Tamagawa numbers of elliptic curves with isogenies or torsion

Mentzelos Melistas

arxiv:2505.20479 v2 · 2025-05-26 · 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{ADYUEYHOCDNT6MNRYLNC5XJGG5}

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	2026-07-05T11:53:03.670057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f14260ee10db3f31b1c2da2edd263774632cf939a55cf3fa081cc15cfd6253

Aliases

arxiv: 2505.20479 · arxiv_version: 2505.20479v2 · doi: 10.48550/arxiv.2505.20479 · pith_short_12: ADYUEYHOCDNT · pith_short_16: ADYUEYHOCDNT6MNR · pith_short_8: ADYUEYHO

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/ADYUEYHOCDNT6MNRYLNC5XJGG5 \
  | 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: 00f14260ee10db3f31b1c2da2edd263774632cf939a55cf3fa081cc15cfd6253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b544a2968dec6e2cf7cabef63dc18a3e20ff82b9f7b8ed5fd51af14c93dce370",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-26T19:22:41Z",
    "title_canon_sha256": "1f429aed1cf960e5351dfcbd7b9a6ede15705b629c787f6b652415576053162a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20479",
    "kind": "arxiv",
    "version": 2
  }
}