Pith Number

pith:KRONFUXU

pith:2026:KRONFUXUVUJK27Z3GQZ65RTYE5

not attested not anchored not stored refs pending

The Explicit Hypergeometric Modularity Method III

Brian Grove, Esme Rosen, Fang-Ting Tu, Ling Long

arxiv:2607.25173 v1 · 2026-07-28 · 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{KRONFUXUVUJK27Z3GQZ65RTYE5}

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	2026-07-29T00:25:06.759947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545cd2d2f4ad12ad7f3b3433eec67827719bc07020d6dc0b30df5cc3958d8cb8

Aliases

arxiv: 2607.25173 · arxiv_version: 2607.25173v1 · doi: 10.48550/arxiv.2607.25173 · pith_short_12: KRONFUXUVUJK · pith_short_16: KRONFUXUVUJK27Z3 · pith_short_8: KRONFUXU

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/KRONFUXUVUJK27Z3GQZ65RTYE5 \
  | 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: 545cd2d2f4ad12ad7f3b3433eec67827719bc07020d6dc0b30df5cc3958d8cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e805753e26bc2a303c682eae180311c4ec97b22155c645d10416387390423ac1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-28T00:54:30Z",
    "title_canon_sha256": "6852d9044010b84a74872d99c3bafefed483343c896d9965fe0d26822fbabc93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25173",
    "kind": "arxiv",
    "version": 1
  }
}