Pith Number

pith:NHQORVWG

pith:2018:NHQORVWGIXBV2VR4E5JVTGOA4O

not attested not anchored not stored refs pending

Weak Markov Operators

Hulya Duru, Serlan Ilter

arxiv:1806.03297 v1 · 2018-06-08 · math.FA · 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{NHQORVWGIXBV2VR4E5JVTGOA4O}

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	2026-05-18T00:13:43.828736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e0e8d6c645c35d563c27535999c0e3a1cd5ed94d405d40191a8b1b65e60792

Aliases

arxiv: 1806.03297 · arxiv_version: 1806.03297v1 · doi: 10.48550/arxiv.1806.03297 · pith_short_12: NHQORVWGIXBV · pith_short_16: NHQORVWGIXBV2VR4 · pith_short_8: NHQORVWG

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/NHQORVWGIXBV2VR4E5JVTGOA4O \
  | 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: 69e0e8d6c645c35d563c27535999c0e3a1cd5ed94d405d40191a8b1b65e60792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b4a163e686bf7b50931e265f3e9e810f7636fef703e9c25e7f980499a4f916",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-08T13:24:51Z",
    "title_canon_sha256": "b143bf2b071ea2cefbf42949393adc01b811b1db0d94edafaf8a6e04bb5d47a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03297",
    "kind": "arxiv",
    "version": 1
  }
}