Pith Number

pith:KJEHTFNU

pith:2011:KJEHTFNU7IKSPEINUICVOQIQOW

not attested not anchored not stored refs pending

The Schr\"odinger semigroup on some flat and non flat manifolds

M.M. Rodrigues, N. Vieira, R.S. Krausshar

arxiv:1103.0971 v1 · 2011-03-04 · math-ph · math.DG · 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{KJEHTFNU7IKSPEINUICVOQIQOW}

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	2026-05-18T04:27:25.935727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52487995b4fa1527910da205574110759c1d75dc95cfa784a7e908da1a08f6f3

Aliases

arxiv: 1103.0971 · arxiv_version: 1103.0971v1 · doi: 10.48550/arxiv.1103.0971 · pith_short_12: KJEHTFNU7IKS · pith_short_16: KJEHTFNU7IKSPEIN · pith_short_8: KJEHTFNU

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/KJEHTFNU7IKSPEINUICVOQIQOW \
  | 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: 52487995b4fa1527910da205574110759c1d75dc95cfa784a7e908da1a08f6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c560017c6da8a15e84c55a4528ae6b0d8dd1fea97d7145198ad16542a4fc2c2",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-04T20:11:25Z",
    "title_canon_sha256": "de252501274ef1e50711d040f72ba7193be4f92cb7da5ba3356f32c8f6e67850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0971",
    "kind": "arxiv",
    "version": 1
  }
}