Pith Number

pith:2BDGX75D

pith:2013:2BDGX75DLXW4ZY72GS6PT7KJVH

not attested not anchored not stored refs pending

Strongly productive ultrafilters on semigroups

David Fern\'andez Bret\'on, Martino Lupini

arxiv:1309.3636 v2 · 2013-09-14 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BDGX75DLXW4ZY72GS6PT7KJVH}

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	2026-05-18T01:15:36.587661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0466bffa35dedcce3fa34bcf9fd49a9e9cf878e59f1500343eef166adc2e5a0

Aliases

arxiv: 1309.3636 · arxiv_version: 1309.3636v2 · doi: 10.48550/arxiv.1309.3636 · pith_short_12: 2BDGX75DLXW4 · pith_short_16: 2BDGX75DLXW4ZY72 · pith_short_8: 2BDGX75D

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/2BDGX75DLXW4ZY72GS6PT7KJVH \
  | 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: d0466bffa35dedcce3fa34bcf9fd49a9e9cf878e59f1500343eef166adc2e5a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7f0cef06f8f28066358fac486895d3754ff08f778a6d8f4b32211de8be1a78",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-09-14T09:07:17Z",
    "title_canon_sha256": "8c68ff7f285bdf5482532fdc1e3fea177fe68c8ac4cc4bd4d4b11242d797949b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3636",
    "kind": "arxiv",
    "version": 2
  }
}