Pith Number

pith:5Y2ZU4TC

pith:2016:5Y2ZU4TCIFTYT7PBGJHBX552IN

not attested not anchored not stored refs pending

Balanced pairs of operators and their relative index

Vladimir Manuilov

arxiv:1605.08843 v1 · 2016-05-28 · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Y2ZU4TCIFTYT7PBGJHBX552IN}

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	2026-05-18T01:13:22.936790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee359a7262416789fde1324e1bf7ba4358b7663698f13e9b0ea04ae94d3a5f27

Aliases

arxiv: 1605.08843 · arxiv_version: 1605.08843v1 · doi: 10.48550/arxiv.1605.08843 · pith_short_12: 5Y2ZU4TCIFTY · pith_short_16: 5Y2ZU4TCIFTYT7PB · pith_short_8: 5Y2ZU4TC

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/5Y2ZU4TCIFTYT7PBGJHBX552IN \
  | 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: ee359a7262416789fde1324e1bf7ba4358b7663698f13e9b0ea04ae94d3a5f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4602b70c9379064741ae10c3b8304f85206e51879c38eb0f0a64022a937b2c6b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-05-28T04:28:30Z",
    "title_canon_sha256": "e37128859e3e25a9f60baa5ca27af2be1d58ccf6b0303f63f72c294ce99cff42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08843",
    "kind": "arxiv",
    "version": 1
  }
}