Pith Number

pith:3LDERVXZ

pith:2015:3LDERVXZ7UNN4URPA4WB6OCF2T

not attested not anchored not stored refs pending

Invariant means on Boolean inverse monoids

Daniel H. Lenz, Ganna Kudryavtseva, Mark V. Lawson, Pedro Resende

arxiv:1503.03733 v1 · 2015-03-12 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LDERVXZ7UNN4URPA4WB6OCF2T}

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	2026-05-18T02:24:27.511264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac648d6f9fd1ade522f072c1f3845d4c766c6ea43cfb9ca435ef6443919e5e7

Aliases

arxiv: 1503.03733 · arxiv_version: 1503.03733v1 · doi: 10.48550/arxiv.1503.03733 · pith_short_12: 3LDERVXZ7UNN · pith_short_16: 3LDERVXZ7UNN4URP · pith_short_8: 3LDERVXZ

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/3LDERVXZ7UNN4URPA4WB6OCF2T \
  | 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: dac648d6f9fd1ade522f072c1f3845d4c766c6ea43cfb9ca435ef6443919e5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b463d3cbf7d9ab41cf2917f32c31f189e98604be2a96ca69b8fa336c18c96b99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-03-12T14:21:35Z",
    "title_canon_sha256": "fd4d49de5b77a7e190a249e8322858ced82a98c5f20ffce0f751c71428d1cde7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03733",
    "kind": "arxiv",
    "version": 1
  }
}