Pith Number

pith:CUZDTRP4

pith:2016:CUZDTRP4YLCH5OZLLDUE7WFOMK

not attested not anchored not stored refs pending

Aronszajn trees, square principles, and stationary reflection

Chris Lambie-Hanson

arxiv:1605.05489 v2 · 2016-05-18 · 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{CUZDTRP4YLCH5OZLLDUE7WFOMK}

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	2026-05-18T01:12:54.638706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153239c5fcc2c47ebb2b58e84fd8ae6295054000b9bb830da01d1a9bae93b973

Aliases

arxiv: 1605.05489 · arxiv_version: 1605.05489v2 · doi: 10.48550/arxiv.1605.05489 · pith_short_12: CUZDTRP4YLCH · pith_short_16: CUZDTRP4YLCH5OZL · pith_short_8: CUZDTRP4

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/CUZDTRP4YLCH5OZLLDUE7WFOMK \
  | 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: 153239c5fcc2c47ebb2b58e84fd8ae6295054000b9bb830da01d1a9bae93b973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ba52136c63aa47d4a112a6c5f57f039bc97e4edf2e567db39884c297c3d37e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-05-18T09:20:20Z",
    "title_canon_sha256": "60c2f85de5d5e4f9ba6a36fd6c400ce9a9772b96b69cd76d7bdea315894d7b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05489",
    "kind": "arxiv",
    "version": 2
  }
}