Pith Number

pith:TPMWYXQK

pith:2010:TPMWYXQKV2PSH46WSPK4HVXKUW

not attested not anchored not stored refs pending

Quasi-selective ultrafilters and asymptotic numerosities

Andreas Blass, Marco Forti, Mauro Di Nasso

arxiv:1011.2089 v2 · 2010-11-09 · 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{TPMWYXQKV2PSH46WSPK4HVXKUW}

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.

Cited by

1 paper in Pith

Applying numerosity to surreal integration

Receipt and verification

First computed	2026-05-18T00:27:55.601491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bd96c5e0aae9f23f3d693d5c3d6eaa58381b78baac6e9ce271882333ed07e21

Aliases

arxiv: 1011.2089 · arxiv_version: 1011.2089v2 · doi: 10.48550/arxiv.1011.2089 · pith_short_12: TPMWYXQKV2PS · pith_short_16: TPMWYXQKV2PSH46W · pith_short_8: TPMWYXQK

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/TPMWYXQKV2PSH46WSPK4HVXKUW \
  | 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: 9bd96c5e0aae9f23f3d693d5c3d6eaa58381b78baac6e9ce271882333ed07e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55e492a52d0977263e3ebf5cbde295f0356bcefa95eff5c14dc0b33ee0c2e393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-11-09T13:59:49Z",
    "title_canon_sha256": "16dee05562e487ef9ac833a35d52a368e4c95f44d6f9e65ab61923b5600eca1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2089",
    "kind": "arxiv",
    "version": 2
  }
}