Pith Number

pith:7SKRWFFE

pith:2014:7SKRWFFEPWAZCYZMTTD2NE62I7

not attested not anchored not stored refs pending

Enveloping semigroups and quasi-discrete spectrum

Juho Rautio

arxiv:1412.1645 v1 · 2014-12-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SKRWFFEPWAZCYZMTTD2NE62I7}

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	2026-05-18T01:40:59.417801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc951b14a47d8191632c9cc7a693da47c7af19a1bfe5389ac23e2a701a230c90

Aliases

arxiv: 1412.1645 · arxiv_version: 1412.1645v1 · doi: 10.48550/arxiv.1412.1645 · pith_short_12: 7SKRWFFEPWAZ · pith_short_16: 7SKRWFFEPWAZCYZM · pith_short_8: 7SKRWFFE

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/7SKRWFFEPWAZCYZMTTD2NE62I7 \
  | 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: fc951b14a47d8191632c9cc7a693da47c7af19a1bfe5389ac23e2a701a230c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757a38ffea421fe5d38ead150bdc07d3f25b7e25ae591851572f1022bb25e4cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-04T12:39:53Z",
    "title_canon_sha256": "7b6e8a38b310c3f8db083863c4fe1341b965bb4aea15d1c3584be06ad124ec7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1645",
    "kind": "arxiv",
    "version": 1
  }
}