Pith Number

pith:SNSQRU4V

pith:2026:SNSQRU4VNNVZPG4ONSP24GISHW

not attested not anchored not stored refs pending

Distribution of Selmer ranks in prime cyclic extensions

Daniel Keliher, Sun Woo Park

arxiv:2607.01126 v1 · 2026-07-01 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNSQRU4VNNVZPG4ONSP24GISHW}

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	2026-07-02T01:18:29.825414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

936508d3956b6b979b8e6c9fae19123dbdddf600ec6a486ad9125ddc06e0f8fd

Aliases

arxiv: 2607.01126 · arxiv_version: 2607.01126v1 · doi: 10.48550/arxiv.2607.01126 · pith_short_12: SNSQRU4VNNVZ · pith_short_16: SNSQRU4VNNVZPG4O · pith_short_8: SNSQRU4V

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/SNSQRU4VNNVZPG4ONSP24GISHW \
  | 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: 936508d3956b6b979b8e6c9fae19123dbdddf600ec6a486ad9125ddc06e0f8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d03f316d5149320109f86705ef1f91d4f1d4a9800bd3bbe250aac1342fdf1b4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-01T16:13:02Z",
    "title_canon_sha256": "d536f417e22b0215aaacd675cea40181f83c657178af7dd5a69b88be47a8aeea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01126",
    "kind": "arxiv",
    "version": 1
  }
}