Pith Number

pith:CRJHYG4Y

pith:2015:CRJHYG4Y6ND467JAAJAEUS77FY

not attested not anchored not stored refs pending

Geometry and physics of pseudodifferential operators on manifolds

George M. Napolitano, Giampiero Esposito

arxiv:1509.05608 v2 · 2015-09-18 · math-ph · hep-th · 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{CRJHYG4Y6ND467JAAJAEUS77FY}

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	2026-05-18T01:12:07.971767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14527c1b98f347cf7d2002404a4bff2e123635897b466438f5bd3c504b078539

Aliases

arxiv: 1509.05608 · arxiv_version: 1509.05608v2 · doi: 10.48550/arxiv.1509.05608 · pith_short_12: CRJHYG4Y6ND4 · pith_short_16: CRJHYG4Y6ND467JA · pith_short_8: CRJHYG4Y

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/CRJHYG4Y6ND467JAAJAEUS77FY \
  | 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: 14527c1b98f347cf7d2002404a4bff2e123635897b466438f5bd3c504b078539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ad178aa1b12671310052817576ecb374a02152238ee5fb92e0924831da8cec",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-18T12:23:06Z",
    "title_canon_sha256": "f61b7b9cfc6cadee0a2d60cf79adfd7801147a3961b762b838031d936831d94d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05608",
    "kind": "arxiv",
    "version": 2
  }
}