Pith Number

pith:6OYRDQ2F

pith:2015:6OYRDQ2FLSQOEXNK77OU5WPYP7

not attested not anchored not stored refs pending

On partial orderings having precalibre-$\aleph_1$ and fragments of Martin's axiom

Joan Bagaria, Saharon Shelah

arxiv:1502.05500 v1 · 2015-02-19 · 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{6OYRDQ2FLSQOEXNK77OU5WPYP7}

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	2026-05-18T02:26:46.386831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3b111c3455ca0e25daaffdd4ed9f87ffebe194c79f2b26b4224169a18b9e6e6

Aliases

arxiv: 1502.05500 · arxiv_version: 1502.05500v1 · doi: 10.48550/arxiv.1502.05500 · pith_short_12: 6OYRDQ2FLSQO · pith_short_16: 6OYRDQ2FLSQOEXNK · pith_short_8: 6OYRDQ2F

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/6OYRDQ2FLSQOEXNK77OU5WPYP7 \
  | 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: f3b111c3455ca0e25daaffdd4ed9f87ffebe194c79f2b26b4224169a18b9e6e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b9f75a21983538168a7f12be0011196454f53b94faf3904d8b868f4393bd40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-02-19T09:03:39Z",
    "title_canon_sha256": "7be6fe7f36677bab36b74e973c22887faf12e3ee736aec9ab8d3aeae30d3fb8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05500",
    "kind": "arxiv",
    "version": 1
  }
}