Pith Number

pith:MMCQCTE4

pith:2018:MMCQCTE4QEEMQYYMG6WPQO5IIY

not attested not anchored not stored refs pending

Graph Laplace and Markov operators on a measure space

Palle E.T. Jorgensen, Sergey Bezuglyi

arxiv:1801.04459 v1 · 2018-01-13 · 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{MMCQCTE4QEEMQYYMG6WPQO5IIY}

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	2026-05-18T00:26:06.429105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6305014c9c8108c8630c37acf83ba8463b37b4decbf4fdbc7b716e0715e21a3d

Aliases

arxiv: 1801.04459 · arxiv_version: 1801.04459v1 · doi: 10.48550/arxiv.1801.04459 · pith_short_12: MMCQCTE4QEEM · pith_short_16: MMCQCTE4QEEMQYYM · pith_short_8: MMCQCTE4

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/MMCQCTE4QEEMQYYMG6WPQO5IIY \
  | 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: 6305014c9c8108c8630c37acf83ba8463b37b4decbf4fdbc7b716e0715e21a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee73aebd16917946da59925c9fb11ea27270f2632553c3c1dcaa670a15abf58f",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-13T15:58:47Z",
    "title_canon_sha256": "ac550c3af66f95f8d70f7137d661812d030c7e5df10221fe2b8d7d5afd04ee60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04459",
    "kind": "arxiv",
    "version": 1
  }
}