Pith Number

pith:5FV4OYA5

pith:2018:5FV4OYA5YJGGY7QBLCRQR56IPE

not attested not anchored not stored refs pending

Covariant Schr\"odinger semigroups on Riemannian manifolds

Batu G\"uneysu

arxiv:1801.01335 v2 · 2018-01-04 · math.DG · math-ph · math.AP · math.FA · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FV4OYA5YJGGY7QBLCRQR56IPE}

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	2026-05-18T00:17:53.741148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e96bc7601dc24c6c7e0158a308f7c879094a7ee15f7d7a281d59540b82f6b782

Aliases

arxiv: 1801.01335 · arxiv_version: 1801.01335v2 · doi: 10.48550/arxiv.1801.01335 · pith_short_12: 5FV4OYA5YJGG · pith_short_16: 5FV4OYA5YJGGY7QB · pith_short_8: 5FV4OYA5

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/5FV4OYA5YJGGY7QBLCRQR56IPE \
  | 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: e96bc7601dc24c6c7e0158a308f7c879094a7ee15f7d7a281d59540b82f6b782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a7e3631ac41dc7dd6a2509e8fe1db6158708c34c1e5aad88a12bc0c78dfa71",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-04T13:09:43Z",
    "title_canon_sha256": "88b22d457beee4698a50dedb555ba4889494211697ee0e9f154b765990c1df7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01335",
    "kind": "arxiv",
    "version": 2
  }
}