Pith Number

pith:NRI3OOHS

pith:2026:NRI3OOHSBYDEUDQPMZW2OWT6NT

not attested not anchored not stored refs pending

Parity families and a kernel-averaged L-function for near-Ramanujan signings

Vaibhav Suvagiya

arxiv:2607.17343 v1 · 2026-07-19 · math.CO · cs.DM · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRI3OOHSBYDEUDQPMZW2OWT6NT}

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	2026-07-21T01:21:28.706026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c51b738f20e064a0e0f666da75a7e6ccbed038e23f0a08fef5d83da2d96396e

Aliases

arxiv: 2607.17343 · arxiv_version: 2607.17343v1 · doi: 10.48550/arxiv.2607.17343 · pith_short_12: NRI3OOHSBYDE · pith_short_16: NRI3OOHSBYDEUDQP · pith_short_8: NRI3OOHS

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/NRI3OOHSBYDEUDQPMZW2OWT6NT \
  | 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: 6c51b738f20e064a0e0f666da75a7e6ccbed038e23f0a08fef5d83da2d96396e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd84a4ea1ff3a38cdd6bb25c40b1c35cf2ba115ffe016d8ffb7438c3cb76212",
    "cross_cats_sorted": [
      "cs.DM",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-19T17:07:14Z",
    "title_canon_sha256": "1628c316add97fdd7d5ddf33b631655d6e19717f66fb0649a74336173e96b992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17343",
    "kind": "arxiv",
    "version": 1
  }
}