Pith Number

pith:SEI6MSXN

pith:2025:SEI6MSXNLAJCGGER57FPY4JI6H

not attested not anchored not stored refs pending

On variable non-dependence of first-order formulas

Gergely Sz\'ekely, Koen Lefever

arxiv:2501.16633 v1 · 2025-01-28 · math.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{SEI6MSXNLAJCGGER57FPY4JI6H}

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	2026-07-05T10:06:16.164944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9111e64aed5812231891efcafc7128f1efc80b2a874ef8d21ee42d3980b75d45

Aliases

arxiv: 2501.16633 · arxiv_version: 2501.16633v1 · doi: 10.48550/arxiv.2501.16633 · pith_short_12: SEI6MSXNLAJC · pith_short_16: SEI6MSXNLAJCGGER · pith_short_8: SEI6MSXN

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/SEI6MSXNLAJCGGER57FPY4JI6H \
  | 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: 9111e64aed5812231891efcafc7128f1efc80b2a874ef8d21ee42d3980b75d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fda8b46a27c4f7c38908870922c4045c4307fa92a0da8894ba67707b88987d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-01-28T02:13:39Z",
    "title_canon_sha256": "ffcd7b202e7cc4e622fe889618b3594d5f0531fb38702e774b045f2adb5605d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16633",
    "kind": "arxiv",
    "version": 1
  }
}