Pith Number

pith:Q5SMLAH6

pith:2017:Q5SMLAH6K7GSDB6F6GP44KNF3P

not attested not anchored not stored refs pending

Low is a Dividing Line in Keisler's Order

Douglas Ulrich

arxiv:1704.01537 v1 · 2017-04-05 · 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{Q5SMLAH6K7GSDB6F6GP44KNF3P}

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	2026-05-18T00:46:56.211951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8764c580fe57cd2187c5f19fce29a5dbc3aa9e17df1a63ad2a05567a27e8ee69

Aliases

arxiv: 1704.01537 · arxiv_version: 1704.01537v1 · doi: 10.48550/arxiv.1704.01537 · pith_short_12: Q5SMLAH6K7GS · pith_short_16: Q5SMLAH6K7GSDB6F · pith_short_8: Q5SMLAH6

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/Q5SMLAH6K7GSDB6F6GP44KNF3P \
  | 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: 8764c580fe57cd2187c5f19fce29a5dbc3aa9e17df1a63ad2a05567a27e8ee69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec01c384a8f6928c093801d8e535d1f88b3d5cfa40aa1fb61c9185fd44dcf387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-04-05T17:28:38Z",
    "title_canon_sha256": "2d572535651035bf895095ccbba4d26e7f92c0ed09da4bdb7551171dd5e1f68f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01537",
    "kind": "arxiv",
    "version": 1
  }
}