Pith Number

pith:SYAS2RYN

pith:2013:SYAS2RYNOAP5VGRGW5EYH5OP6Y

not attested not anchored not stored refs pending

Adiabatic groupoid, crossed product by $\R_+^*$ and Pseudodifferential calculus

Claire Debord, Georges Skandalis (IMJ)

arxiv:1307.6320 v2 · 2013-07-24 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYAS2RYNOAP5VGRGW5EYH5OP6Y}

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	2026-05-18T03:10:57.788572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96012d470d701fda9a26b74983f5cff606e08c3d8835e522a543c5a2e0ddfdf4

Aliases

arxiv: 1307.6320 · arxiv_version: 1307.6320v2 · doi: 10.48550/arxiv.1307.6320 · pith_short_12: SYAS2RYNOAP5 · pith_short_16: SYAS2RYNOAP5VGRG · pith_short_8: SYAS2RYN

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/SYAS2RYNOAP5VGRGW5EYH5OP6Y \
  | 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: 96012d470d701fda9a26b74983f5cff606e08c3d8835e522a543c5a2e0ddfdf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ef8a6997bd5f30fd27f963fa199c7aecaf140c30cef696252852d2304558d0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-24T08:19:10Z",
    "title_canon_sha256": "08092d01db3fba7deca1feeca2988c3d31f73f68b46e758458f110c99b6761a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6320",
    "kind": "arxiv",
    "version": 2
  }
}