Pith Number

pith:F5FHDNZC

pith:2016:F5FHDNZC2P3UKOBPHD4IGCIBLV

not attested not anchored not stored refs pending

KMS quantum symmetric states

Ken Dykema, Kunal Mukherjee

arxiv:1609.01225 v1 · 2016-09-05 · 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{F5FHDNZC2P3UKOBPHD4IGCIBLV}

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	2026-05-18T00:49:15.814095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4a71b722d3f745382f38f88309015d697b43f67164e2dc3837eafe587ca9e6

Aliases

arxiv: 1609.01225 · arxiv_version: 1609.01225v1 · doi: 10.48550/arxiv.1609.01225 · pith_short_12: F5FHDNZC2P3U · pith_short_16: F5FHDNZC2P3UKOBP · pith_short_8: F5FHDNZC

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/F5FHDNZC2P3UKOBPHD4IGCIBLV \
  | 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: 2f4a71b722d3f745382f38f88309015d697b43f67164e2dc3837eafe587ca9e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16023a8cb08e74fc7a4bbf6c4a9c95f82b2fd3b042386a44f9ce22587c228a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-09-05T17:19:47Z",
    "title_canon_sha256": "0b589959261ae4040d160dbb1fd34986e723d15c9bdc3e1d0f4f85e2488b3c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01225",
    "kind": "arxiv",
    "version": 1
  }
}