Pith Number

pith:3T42H22M

pith:2019:3T42H22MKD6I2RZPMRENWGEADM

not attested not anchored not stored refs pending

Lie groupoids, pseudodifferential calculus and index theory

Claire Debord, Georges Skandalis

arxiv:1907.05258 v1 · 2019-07-11 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3T42H22MKD6I2RZPMRENWGEADM}

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	2026-05-17T23:40:51.008402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf9a3eb4c50fc8d472f6448db18801b035c443735437760ea6fc3a69b69120c

Aliases

arxiv: 1907.05258 · arxiv_version: 1907.05258v1 · doi: 10.48550/arxiv.1907.05258 · pith_short_12: 3T42H22MKD6I · pith_short_16: 3T42H22MKD6I2RZP · pith_short_8: 3T42H22M

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/3T42H22MKD6I2RZPMRENWGEADM \
  | 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: dcf9a3eb4c50fc8d472f6448db18801b035c443735437760ea6fc3a69b69120c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8920933d5e27464e2af4af2dcf0ae0869b87050df845e1072df35f3d5ad47fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-07-11T14:45:05Z",
    "title_canon_sha256": "8c72adf566fdcadd8a9844cb23771cc84ad058c33ee2e9f5022c9a01d82784a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05258",
    "kind": "arxiv",
    "version": 1
  }
}