Pith Number

pith:TM2RFNQO

pith:2011:TM2RFNQOFGLOPOOLKC4RDP3OWB

not attested not anchored not stored refs pending

Nonlinear Markov semigroups and refinement schemes on metric spaces

Oliver Ebner

arxiv:1112.6003 v1 · 2011-12-27 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TM2RFNQOFGLOPOOLKC4RDP3OWB}

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	2026-05-18T04:05:37.085208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3512b60e2996e7b9cb50b911bf6eb07e98d5228c326a35c5fe649a697cde1d

Aliases

arxiv: 1112.6003 · arxiv_version: 1112.6003v1 · doi: 10.48550/arxiv.1112.6003 · pith_short_12: TM2RFNQOFGLO · pith_short_16: TM2RFNQOFGLOPOOL · pith_short_8: TM2RFNQO

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/TM2RFNQOFGLOPOOLKC4RDP3OWB \
  | 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: 9b3512b60e2996e7b9cb50b911bf6eb07e98d5228c326a35c5fe649a697cde1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d186cd2c3cc00ca81f1a75f9e38330738d3c54b138fd09b35389acecc742d2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-27T18:50:32Z",
    "title_canon_sha256": "26cca771f0feb6916dec90529c93eede927452c5be50bd53679ea09a84a2c70d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6003",
    "kind": "arxiv",
    "version": 1
  }
}