Pith Number

pith:IX4FLX5W

pith:2025:IX4FLX5WVG7KBYSLDZXK3DK4HP

not attested not anchored not stored refs pending

Dwork congruences via q-deformation

Andrey Smirnov, Pavan Kartik

arxiv:2505.04039 v1 · 2025-05-07 · math.NT · math-ph · math.AG · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IX4FLX5WVG7KBYSLDZXK3DK4HP}

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	2026-07-05T10:59:35.522711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f855dfb6a9bea0e24b1e6ead8d5c3bea2b97052c46d7c2791a9259723381bf

Aliases

arxiv: 2505.04039 · arxiv_version: 2505.04039v1 · doi: 10.48550/arxiv.2505.04039 · pith_short_12: IX4FLX5WVG7K · pith_short_16: IX4FLX5WVG7KBYSL · pith_short_8: IX4FLX5W

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/IX4FLX5WVG7KBYSLDZXK3DK4HP \
  | 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: 45f855dfb6a9bea0e24b1e6ead8d5c3bea2b97052c46d7c2791a9259723381bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c7e89804f9ac14778b884bd0b0b8ae87df8a2932eacc4e8238a4cccd18e084",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-07T00:37:03Z",
    "title_canon_sha256": "dc2ca7cf803f5b79eb92461be647735856a19884827758fda2e856777100acb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04039",
    "kind": "arxiv",
    "version": 1
  }
}