Pith Number

pith:FQUXMEHY

pith:2015:FQUXMEHYZOANWQ6EV66FJGOZLC

not attested not anchored not stored refs pending

Ultrafilters on $G$-spaces

Igor Protasov, Oleksandr Petrenko

arxiv:1507.00145 v1 · 2015-07-01 · math.LO · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQUXMEHYZOANWQ6EV66FJGOZLC}

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	2026-05-18T01:37:30.410720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c297610f8cb80db43c4afbc5499d958a031423c1df0b226833a50ca2048f35d

Aliases

arxiv: 1507.00145 · arxiv_version: 1507.00145v1 · doi: 10.48550/arxiv.1507.00145 · pith_short_12: FQUXMEHYZOAN · pith_short_16: FQUXMEHYZOANWQ6E · pith_short_8: FQUXMEHY

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/FQUXMEHYZOANWQ6EV66FJGOZLC \
  | 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: 2c297610f8cb80db43c4afbc5499d958a031423c1df0b226833a50ca2048f35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb2b3c09ea7ad8e6f171dab449e0ddafab6a1e77edde24f145b5934bf289f2f",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-07-01T08:24:13Z",
    "title_canon_sha256": "9d810b14a7e742d1e45ddb5c1f4a1d62d09c164fad667238bcd26d5bc3feddae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00145",
    "kind": "arxiv",
    "version": 1
  }
}