Pith Number

pith:AYTXLGRU

pith:2012:AYTXLGRU4KTVLVEHAEDDFG3D26

not attested not anchored not stored refs pending

Model-theoretic properties of ultrafilters built by independent families of functions

M. Malliaris, S. Shelah

arxiv:1208.2579 v1 · 2012-08-13 · 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{AYTXLGRU4KTVLVEHAEDDFG3D26}

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	2026-05-18T03:48:57.499253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0627759a34e2a755d4870106329b63d79a8c964fe9c038a392676b7f631e31b4

Aliases

arxiv: 1208.2579 · arxiv_version: 1208.2579v1 · doi: 10.48550/arxiv.1208.2579 · pith_short_12: AYTXLGRU4KTV · pith_short_16: AYTXLGRU4KTVLVEH · pith_short_8: AYTXLGRU

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/AYTXLGRU4KTVLVEHAEDDFG3D26 \
  | 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: 0627759a34e2a755d4870106329b63d79a8c964fe9c038a392676b7f631e31b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e6675d042801b04e4798a7873e6c3283b3a84275c393e363a99992c93a645e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-13T13:15:52Z",
    "title_canon_sha256": "138100919b8ae1c8183d49c76ea31cb40ce2c79dfd6fa8a0c619390586946535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2579",
    "kind": "arxiv",
    "version": 1
  }
}