Pith Number

pith:ID2FWT4W

pith:2025:ID2FWT4W5Z5NVILMNFOXIHTZSJ

not attested not anchored not stored refs pending

Refinements on higher order Weil-Oesterl\'e bounds via a Serre type argument

Emmanuel Hallouin, Marc Perret, Philippe Moustrou

arxiv:2506.05212 v1 · 2025-06-05 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID2FWT4W5Z5NVILMNFOXIHTZSJ}

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	2026-07-05T11:16:44.150205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f45b4f96ee7adaa16c695d741e79924dcbb309eac9919b9ffa8bc2bf8ddc18

Aliases

arxiv: 2506.05212 · arxiv_version: 2506.05212v1 · doi: 10.48550/arxiv.2506.05212 · pith_short_12: ID2FWT4W5Z5N · pith_short_16: ID2FWT4W5Z5NVILM · pith_short_8: ID2FWT4W

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/ID2FWT4W5Z5NVILMNFOXIHTZSJ \
  | 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: 40f45b4f96ee7adaa16c695d741e79924dcbb309eac9919b9ffa8bc2bf8ddc18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162d9780fc98fffff1d47a09177ec132d470c0009f9eca17d2a781f60872ddef",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-05T16:27:10Z",
    "title_canon_sha256": "48f0d0cfbff39ff39498e16cdef2e3551508db03ec0549987007407e35331abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05212",
    "kind": "arxiv",
    "version": 1
  }
}