Pith Number

pith:C3TN6K2V

pith:2025:C3TN6K2VQ4KZLDZ7ORW3SFDC4M

not attested not anchored not stored refs pending

A Strongly Non-Saturated Aronszajn Tree Without Weak Kurepa Trees

John Krueger, \v{S}\'arka Stejskalov\'a

arxiv:2506.06878 v2 · 2025-06-07 · 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{C3TN6K2VQ4KZLDZ7ORW3SFDC4M}

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	2026-07-05T11:27:55.075015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e6df2b558715958f3f746db91462e33bae2a5f56a2a1de8510781a1969a50a

Aliases

arxiv: 2506.06878 · arxiv_version: 2506.06878v2 · doi: 10.48550/arxiv.2506.06878 · pith_short_12: C3TN6K2VQ4KZ · pith_short_16: C3TN6K2VQ4KZLDZ7 · pith_short_8: C3TN6K2V

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/C3TN6K2VQ4KZLDZ7ORW3SFDC4M \
  | 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: 16e6df2b558715958f3f746db91462e33bae2a5f56a2a1de8510781a1969a50a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f8a99ed8057a116d3bacd0b3914e8d35dcbab8fb6902134a6ba2ab9453a7ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-06-07T17:55:19Z",
    "title_canon_sha256": "4568753dbf91fd857fb03458fd7ebe1654948ab0997b655119a2983efd9bd953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06878",
    "kind": "arxiv",
    "version": 2
  }
}