Pith Number

pith:N77D257T

pith:2026:N77D257TF72OJHWIIIBJ465WKC

not attested not anchored not stored refs pending

The $\Delta$ property: a bridge between split graphs and Number Theory

Victor N. Schv\"ollner

arxiv:2605.25264 v1 · 2026-05-24 · math.CO · 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{N77D257TF72OJHWIIIBJ465WKC}

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	2026-05-26T02:04:26.177878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ffe3d77f32ff4e49ec842029e7bb6508a2c51e916ca14d6ba5fa8d0cc3cc6b3

Aliases

arxiv: 2605.25264 · arxiv_version: 2605.25264v1 · doi: 10.48550/arxiv.2605.25264 · pith_short_12: N77D257TF72O · pith_short_16: N77D257TF72OJHWI · pith_short_8: N77D257T

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/N77D257TF72OJHWIIIBJ465WKC \
  | 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: 6ffe3d77f32ff4e49ec842029e7bb6508a2c51e916ca14d6ba5fa8d0cc3cc6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15760543df3b41e18c2b5ebcecbdcb0b0a14f474810458dd4321b8e74ce97042",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-24T21:34:09Z",
    "title_canon_sha256": "72365bc2e8c1ee3f5c41b446fb984c9cc9394503ef1466ecbab21278c9075971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25264",
    "kind": "arxiv",
    "version": 1
  }
}