Pith Number

pith:KIEFJ7SP

pith:2016:KIEFJ7SP33PNCROWH3RP3FHZXI

not attested not anchored not stored refs pending

Pseudodifferential Calculus, Twisted gerbes and twisted index theory for Lie groupoids

Paulo Carrillo Rouse

arxiv:1602.08370 v3 · 2016-02-26 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIEFJ7SP33PNCROWH3RP3FHZXI}

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	2026-05-18T00:26:13.103037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

520854fe4fdeded145d63ee2fd94f9ba00cd7948ae51c7a32e88d3e1823df454

Aliases

arxiv: 1602.08370 · arxiv_version: 1602.08370v3 · doi: 10.48550/arxiv.1602.08370 · pith_short_12: KIEFJ7SP33PN · pith_short_16: KIEFJ7SP33PNCROW · pith_short_8: KIEFJ7SP

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/KIEFJ7SP33PNCROWH3RP3FHZXI \
  | 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: 520854fe4fdeded145d63ee2fd94f9ba00cd7948ae51c7a32e88d3e1823df454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "216892e9bb19e016e6d029de5152f77bd54ed61cd3760a133c32a327538ff896",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-02-26T15:35:03Z",
    "title_canon_sha256": "6f84634dfa2a5a067e1c00d0cbb0ae60c93eda319a31a9441ff1d5e7df442b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08370",
    "kind": "arxiv",
    "version": 3
  }
}