Pith Number

pith:GR4MY63D

pith:2026:GR4MY63D2WI3IHYR7MWQ3D7AE4

not attested not anchored not stored refs pending

Structural Infinite-Exponent Partition Relations and Weak Choice Principles

Jonathan Schilhan, Lyra A. Gardiner

arxiv:2605.21259 v1 · 2026-05-20 · 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{GR4MY63D2WI3IHYR7MWQ3D7AE4}

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	2026-05-21T02:05:25.390480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3478cc7b63d591b41f11fb2d0d8fe027203a724009952b81737112dc80a8e833

Aliases

arxiv: 2605.21259 · arxiv_version: 2605.21259v1 · doi: 10.48550/arxiv.2605.21259 · pith_short_12: GR4MY63D2WI3 · pith_short_16: GR4MY63D2WI3IHYR · pith_short_8: GR4MY63D

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/GR4MY63D2WI3IHYR7MWQ3D7AE4 \
  | 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: 3478cc7b63d591b41f11fb2d0d8fe027203a724009952b81737112dc80a8e833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7235447b53b0891edfe0d66e4da64b9729d2b7c547ab377fbbc489022273032b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-20T14:49:04Z",
    "title_canon_sha256": "feed19688e7d32af201718956a42eb302285dcc276678b832ab3c2728a312c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21259",
    "kind": "arxiv",
    "version": 1
  }
}