Pith Number

pith:U3RGBA6W

pith:2015:U3RGBA6W5ZRAAK57OMUBP4LUZO

not attested not anchored not stored refs pending

Large Cardinal Axioms from Tameness in AECs

Spencer Unger, Will Boney

arxiv:1509.01191 v3 · 2015-09-03 · 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{U3RGBA6W5ZRAAK57OMUBP4LUZO}

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	2026-05-18T01:01:52.221583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e26083d6ee62002bbf732817f174cbb16a9d43806668feae1dc5857b4b2925

Aliases

arxiv: 1509.01191 · arxiv_version: 1509.01191v3 · doi: 10.48550/arxiv.1509.01191 · pith_short_12: U3RGBA6W5ZRA · pith_short_16: U3RGBA6W5ZRAAK57 · pith_short_8: U3RGBA6W

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/U3RGBA6W5ZRAAK57OMUBP4LUZO \
  | 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: a6e26083d6ee62002bbf732817f174cbb16a9d43806668feae1dc5857b4b2925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "633d9318befbfbfedef0249ea7bb1c037f1b6cea58310b148f8380b4890e7748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-03T18:11:07Z",
    "title_canon_sha256": "f10dd863d3ba353c61a6bc10c8f182a6499bd8bbf85828b1a03d8416ad559461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01191",
    "kind": "arxiv",
    "version": 3
  }
}