Pith Number

pith:IRU7KERD

pith:2018:IRU7KERDBEJ4OW2OZHSYMKMOBF

not attested not anchored not stored refs pending

Markov operators generated by symmetric measures

Palle E.T. Jorgensen, Sergey Bezuglyi

arxiv:1812.00081 v1 · 2018-11-30 · math.FA · 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{IRU7KERDBEJ4OW2OZHSYMKMOBF}

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	2026-05-17T23:59:27.364858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4469f512230913c75b4ec9e586298e097de3c7204ae76db7b64569cb1b71f6e5

Aliases

arxiv: 1812.00081 · arxiv_version: 1812.00081v1 · doi: 10.48550/arxiv.1812.00081 · pith_short_12: IRU7KERDBEJ4 · pith_short_16: IRU7KERDBEJ4OW2O · pith_short_8: IRU7KERD

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/IRU7KERDBEJ4OW2OZHSYMKMOBF \
  | 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: 4469f512230913c75b4ec9e586298e097de3c7204ae76db7b64569cb1b71f6e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae4fb386418b2b4c8ed96933b91b2673b899510301b336b798978c81c6dfab8",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-30T22:45:04Z",
    "title_canon_sha256": "919460be20bef021f27f871fa469b419b94f6643b1679ce6a795d3602504fa70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00081",
    "kind": "arxiv",
    "version": 1
  }
}