Pith Number

pith:M7XRH4KA

pith:2019:M7XRH4KAV7AHD3JYNXPACVEHC7

not attested not anchored not stored refs pending

Generalisations of Stationarity, Closed and Unboundedness, and of Jensen's $\Box$

H. Brickhill, P. D. Welch

arxiv:1908.05920 v1 · 2019-08-16 · 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{M7XRH4KAV7AHD3JYNXPACVEHC7}

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	2026-07-04T23:57:54.428020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ef13f140afc071ed386dde01548717caf44f88b0d06a1cfbd49aacac3ff68f

Aliases

arxiv: 1908.05920 · arxiv_version: 1908.05920v1 · doi: 10.48550/arxiv.1908.05920 · pith_short_12: M7XRH4KAV7AH · pith_short_16: M7XRH4KAV7AHD3JY · pith_short_8: M7XRH4KA

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/M7XRH4KAV7AHD3JYNXPACVEHC7 \
  | 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: 67ef13f140afc071ed386dde01548717caf44f88b0d06a1cfbd49aacac3ff68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b094eff24a1eda2404301ef4b913172bd8197b56fe9cebb89b01b2d4518d28a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-08-16T10:17:23Z",
    "title_canon_sha256": "bbb3fa8b96c9350df869c98d97478efbe069a1cec0fb788c2db84a1d4b8e0cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05920",
    "kind": "arxiv",
    "version": 1
  }
}