Pith Number

pith:MNDDH2GT

pith:2013:MNDDH2GT6VCSIW7TVM5ISHO7ZV

not attested not anchored not stored refs pending

Periodic and rapid decay rank two self-adjoint commuting differential operators

Andrey E. Mironov

arxiv:1302.5735 v1 · 2013-02-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNDDH2GT6VCSIW7TVM5ISHO7ZV}

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	2026-05-18T03:32:44.064643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634633e8d3f545245bf3ab3a891ddfcd6d8ed06e87bde37ddbbd5e702a6232ee

Aliases

arxiv: 1302.5735 · arxiv_version: 1302.5735v1 · doi: 10.48550/arxiv.1302.5735 · pith_short_12: MNDDH2GT6VCS · pith_short_16: MNDDH2GT6VCSIW7T · pith_short_8: MNDDH2GT

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/MNDDH2GT6VCSIW7TVM5ISHO7ZV \
  | 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: 634633e8d3f545245bf3ab3a891ddfcd6d8ed06e87bde37ddbbd5e702a6232ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb61013c04b50757aa38fcaa2b58480a3c67c1977eb209406365115a56cb41f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-22T22:50:13Z",
    "title_canon_sha256": "ba77a79489e366802dcb1721df2ffaa22dced36c86a27d98d0b6cdbe702bada5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5735",
    "kind": "arxiv",
    "version": 1
  }
}