Pith Number

pith:PW4RAK4J

pith:2012:PW4RAK4JIEZR65TK2AWPPJAYME

not attested not anchored not stored refs pending

Cofinality spectrum theorems in model theory, set theory and general topology

M. Malliaris, S. Shelah

arxiv:1208.5424 v2 · 2012-08-27 · math.LO · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PW4RAK4JIEZR65TK2AWPPJAYME}

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	2026-05-18T02:20:11.014223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db9102b8941331f766ad02cf7a418613fc98a01c9673361d9588bb8529a3034

Aliases

arxiv: 1208.5424 · arxiv_version: 1208.5424v2 · doi: 10.48550/arxiv.1208.5424 · pith_short_12: PW4RAK4JIEZR · pith_short_16: PW4RAK4JIEZR65TK · pith_short_8: PW4RAK4J

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/PW4RAK4JIEZR65TK2AWPPJAYME \
  | 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: 7db9102b8941331f766ad02cf7a418613fc98a01c9673361d9588bb8529a3034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e14a0d686ed239db03fac31d224b9cb039ff6d0984264430f828cebedabb5cb8",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-27T15:47:46Z",
    "title_canon_sha256": "e9e23370e17c0de8d0059ec4d5780c34c488c2d5ff3082860ba398f4a32d7547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5424",
    "kind": "arxiv",
    "version": 2
  }
}