Pith Number

pith:4O4UY6WN

pith:2014:4O4UY6WN43FPGN2ROQX4UDTXML

not attested not anchored not stored refs pending

Existence of optimal ultrafilters and the fundamental complexity of simple theories

M. Malliaris, S. Shelah

arxiv:1404.2919 v2 · 2014-04-10 · 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{4O4UY6WN43FPGN2ROQX4UDTXML}

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	2026-05-18T01:35:12.321406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b94c7acde6caf33751742fca0e7762d86a1317bdb022a3a1f91e3ff95c7cab

Aliases

arxiv: 1404.2919 · arxiv_version: 1404.2919v2 · doi: 10.48550/arxiv.1404.2919 · pith_short_12: 4O4UY6WN43FP · pith_short_16: 4O4UY6WN43FPGN2R · pith_short_8: 4O4UY6WN

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/4O4UY6WN43FPGN2ROQX4UDTXML \
  | 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: e3b94c7acde6caf33751742fca0e7762d86a1317bdb022a3a1f91e3ff95c7cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dca26892826aa65697c918727aea65b3473f3eafa7e0293fe7b3cb80247d5ddb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-04-10T19:47:04Z",
    "title_canon_sha256": "9cc64bb8df14b043d93138f62ee72949faa6a8ee33b3eefcc38a1367dcb97cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2919",
    "kind": "arxiv",
    "version": 2
  }
}