Pith Number

pith:6PYVPYNP

pith:2016:6PYVPYNP7Z6SCEBHQGWWR2UEVZ

not attested not anchored not stored refs pending

KMS states, conformal measures and ends in digraphs

Klaus Thomsen

arxiv:1612.04716 v5 · 2016-12-14 · math.PR · math.DS · 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{6PYVPYNP7Z6SCEBHQGWWR2UEVZ}

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	2026-05-18T00:06:56.631826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f157e1affe7d21102781ad68ea84ae60ab0ebc8aebd731d9bc33dfa8d3d83b

Aliases

arxiv: 1612.04716 · arxiv_version: 1612.04716v5 · doi: 10.48550/arxiv.1612.04716 · pith_short_12: 6PYVPYNP7Z6S · pith_short_16: 6PYVPYNP7Z6SCEBH · pith_short_8: 6PYVPYNP

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/6PYVPYNP7Z6SCEBHQGWWR2UEVZ \
  | 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: f3f157e1affe7d21102781ad68ea84ae60ab0ebc8aebd731d9bc33dfa8d3d83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfefa1d53755620f762ff78354579e740d4ee0aace6ee22aac75421605ebdd24",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-14T16:33:34Z",
    "title_canon_sha256": "b42db0759df0baac056667b84a35b16adcce518cc15d7ee9261887bf2f3bd016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04716",
    "kind": "arxiv",
    "version": 5
  }
}