Pith Number

pith:V6VKBHXF

pith:2024:V6VKBHXFN7YCTHIYUAANCTQMXB

not attested not anchored not stored refs pending

A Note on the Growth of Sha in Dihedral Extensions

Jamie Bell

arxiv:2411.15663 v1 · 2024-11-23 · 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{V6VKBHXFN7YCTHIYUAANCTQMXB}

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	2026-07-05T09:39:38.811888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afaaa09ee56ff0299d18a000d14e0cb87e4bded82208b3fc567bc163e134ca5a

Aliases

arxiv: 2411.15663 · arxiv_version: 2411.15663v1 · doi: 10.48550/arxiv.2411.15663 · pith_short_12: V6VKBHXFN7YC · pith_short_16: V6VKBHXFN7YCTHIY · pith_short_8: V6VKBHXF

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/V6VKBHXFN7YCTHIYUAANCTQMXB \
  | 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: afaaa09ee56ff0299d18a000d14e0cb87e4bded82208b3fc567bc163e134ca5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add720215a0d99a42ae51fa81a062229e42d28ccd68ab017988b0685f6bcf052",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-23T22:19:06Z",
    "title_canon_sha256": "6d590aaf29015f09940fd85fb90500b84732d502ca4966ebd738cc79b6b77c78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15663",
    "kind": "arxiv",
    "version": 1
  }
}