Pith Number

pith:WO52OUCL

pith:2025:WO52OUCLRREZ63IVQN7OS2VJT4

not attested not anchored not stored refs pending

Cusp forms as $p$-adic limits circumventing $p$-adic version of the Legendre period relation

Pavel Guerzhoy

arxiv:2506.07107 v2 · 2025-06-08 · 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{WO52OUCLRREZ63IVQN7OS2VJT4}

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	2026-07-05T11:46:43.986887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3bba7504b8c499f6d15837ee96aa99f05603ae7b85ba72e8e9e2281cacb11ca

Aliases

arxiv: 2506.07107 · arxiv_version: 2506.07107v2 · doi: 10.48550/arxiv.2506.07107 · pith_short_12: WO52OUCLRREZ · pith_short_16: WO52OUCLRREZ63IV · pith_short_8: WO52OUCL

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/WO52OUCLRREZ63IVQN7OS2VJT4 \
  | 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: b3bba7504b8c499f6d15837ee96aa99f05603ae7b85ba72e8e9e2281cacb11ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e5ae4e6bba8c27fb4c1f4cde6dfc72fdc3e21af0dab9ed75b97d9c04a04687",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-08T12:33:00Z",
    "title_canon_sha256": "e4b2d0d33ae692c751741e2c7334646d5ef8d3b853714a564280d6ba1f9111a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07107",
    "kind": "arxiv",
    "version": 2
  }
}