Pith Number

pith:O2PKQR6G

pith:2025:O2PKQR6GQ2FAPZA5OJQD7DVTX7

not attested not anchored not stored refs pending

Uniform Interpolation

Sam van Gool

arxiv:2512.15391 v3 · 2025-12-17 · math.LO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2PKQR6GQ2FAPZA5OJQD7DVTX7}

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	2026-06-09T01:04:40.465904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769ea847c6868a07e41d72603f8eb3bffa3b02488cc90a23433076d9e5bbe41a

Aliases

arxiv: 2512.15391 · arxiv_version: 2512.15391v3 · doi: 10.48550/arxiv.2512.15391 · pith_short_12: O2PKQR6GQ2FA · pith_short_16: O2PKQR6GQ2FAPZA5 · pith_short_8: O2PKQR6G

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/O2PKQR6GQ2FAPZA5OJQD7DVTX7 \
  | 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: 769ea847c6868a07e41d72603f8eb3bffa3b02488cc90a23433076d9e5bbe41a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c175d17d70498bb5f0b181c0539e35f1e276fe10b9211ef259d33ff7434f9cde",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-12-17T12:41:27Z",
    "title_canon_sha256": "e4211a5e8d0331ae90c281221f2922bcffa81eb3eda67d729750a0ef8e36e2b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15391",
    "kind": "arxiv",
    "version": 3
  }
}