Pith Number

pith:32LJBV36

pith:2019:32LJBV36KJAYYWI6EVR6M4KJWU

not attested not anchored not stored refs pending

Lower consistency bounds for mutual stationarity with divergent cofinalities and limited covering

Dominik Adolf

arxiv:1908.01332 v1 · 2019-08-04 · 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{32LJBV36KJAYYWI6EVR6M4KJWU}

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	2026-07-04T23:51:29.208759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9690d77e52418c591e2563e67149b5020b773badc3474b2db8e46438802c14

Aliases

arxiv: 1908.01332 · arxiv_version: 1908.01332v1 · doi: 10.48550/arxiv.1908.01332 · pith_short_12: 32LJBV36KJAY · pith_short_16: 32LJBV36KJAYYWI6 · pith_short_8: 32LJBV36

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/32LJBV36KJAYYWI6EVR6M4KJWU \
  | 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: de9690d77e52418c591e2563e67149b5020b773badc3474b2db8e46438802c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b68dabf25799aa874f8d14cc6ccb8808a3dd199e21d2640cc7572269fea50bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-08-04T12:48:16Z",
    "title_canon_sha256": "8bdd5cc79397071bb7f6c923c7626043562fc4dd60e2bdc6961a4c5083dc3a1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01332",
    "kind": "arxiv",
    "version": 1
  }
}