Pith Number

pith:FPDATK7J

pith:2018:FPDATK7JHZGRMC2O7VCM67VTN2

not attested not anchored not stored refs pending

Some more algebra on ultrafilters in metric spaces

Igor Protasov

arxiv:1802.05224 v1 · 2018-02-14 · 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{FPDATK7JHZGRMC2O7VCM67VTN2}

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	2026-05-18T00:23:19.976477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc609abe93e4d160b4efd44cf7eb36e85bce7f7096ee8c99c99b0aadf3df3ea

Aliases

arxiv: 1802.05224 · arxiv_version: 1802.05224v1 · doi: 10.48550/arxiv.1802.05224 · pith_short_12: FPDATK7JHZGR · pith_short_16: FPDATK7JHZGRMC2O · pith_short_8: FPDATK7J

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/FPDATK7JHZGRMC2O7VCM67VTN2 \
  | 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: 2bc609abe93e4d160b4efd44cf7eb36e85bce7f7096ee8c99c99b0aadf3df3ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a9b07e5d7aa65856a762c935cda580bf2c6c93f12549a142194a47e3a996f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-02-14T17:25:34Z",
    "title_canon_sha256": "eb3dbccaf67056f14a35400c0e5e81776bf1a678f3c72d360dbace3559c1e950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05224",
    "kind": "arxiv",
    "version": 1
  }
}