Pith Number

pith:TXEL5FGM

pith:2024:TXEL5FGMWGGZU6SSN73SPCXJ52

not attested not anchored not stored refs pending

Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$

Anwesh Ray

arxiv:2404.09009 v1 · 2024-04-13 · 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{TXEL5FGMWGGZU6SSN73SPCXJ52}

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.

Cited by

1 paper in Pith

Iwasawa theory and ranks of elliptic curves in quadratic twist families

Receipt and verification

First computed	2026-07-05T08:07:43.629411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc8be94ccb18d9a7a526ff7278ae9ee96b1447024d32d26f98ee804a154426a

Aliases

arxiv: 2404.09009 · arxiv_version: 2404.09009v1 · doi: 10.48550/arxiv.2404.09009 · pith_short_12: TXEL5FGMWGGZ · pith_short_16: TXEL5FGMWGGZU6SS · pith_short_8: TXEL5FGM

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/TXEL5FGMWGGZU6SSN73SPCXJ52 \
  | 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: 9dc8be94ccb18d9a7a526ff7278ae9ee96b1447024d32d26f98ee804a154426a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25a5ee139c77c9cb95d30c4c03d39ee56681c5506777e5c94cd5b0e78e4cb3a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-04-13T13:37:14Z",
    "title_canon_sha256": "8d3754bf9aebf941e118bc6186bedd52723f3f009edc9891f930564dd9c37688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.09009",
    "kind": "arxiv",
    "version": 1
  }
}