Pith Number

pith:46JHAIKU

pith:2024:46JHAIKU3BOPB34TUSZ6EH5EE4

not attested not anchored not stored refs pending

Elliptic fibrations and $3 \cdot 2^k$

Carlo Pagano, Efthymios Sofos, Peter Koymans

arxiv:2409.02080 v1 · 2024-09-03 · 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{46JHAIKU3BOPB34TUSZ6EH5EE4}

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

Tamagawa ratios and unbounded Selmer moments

Receipt and verification

First computed	2026-07-05T09:47:34.499125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e792702154d85cf0ef93a4b3e21fa4273e492923013d1b78d17dbbbcf758ed3c

Aliases

arxiv: 2409.02080 · arxiv_version: 2409.02080v1 · doi: 10.48550/arxiv.2409.02080 · pith_short_12: 46JHAIKU3BOP · pith_short_16: 46JHAIKU3BOPB34T · pith_short_8: 46JHAIKU

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/46JHAIKU3BOPB34TUSZ6EH5EE4 \
  | 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: e792702154d85cf0ef93a4b3e21fa4273e492923013d1b78d17dbbbcf758ed3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55d95f718d682aa37ddd96368e75cc994711275402fdab9db977b7b68753595",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-03T17:31:51Z",
    "title_canon_sha256": "86b7d8c632397cadcd2e49970fa9e14ed36a6cece8f17854ff7ff84f73364edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02080",
    "kind": "arxiv",
    "version": 1
  }
}