Pith Number

pith:ZZMJFA5A

pith:2014:ZZMJFA5AS3HXXEKCUSXRWI3OXR

not attested not anchored not stored refs pending

Pseudodifferential extensions and adiabatic deformation of smooth groupoid actions

Claire Debord, Georges Skandalis

arxiv:1412.1998 v1 · 2014-12-05 · 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{ZZMJFA5AS3HXXEKCUSXRWI3OXR}

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	2026-05-18T02:32:05.572991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce589283a096cf7b9142a4af1b236ebc53127048d626e7762375133078f5fb7d

Aliases

arxiv: 1412.1998 · arxiv_version: 1412.1998v1 · doi: 10.48550/arxiv.1412.1998 · pith_short_12: ZZMJFA5AS3HX · pith_short_16: ZZMJFA5AS3HXXEKC · pith_short_8: ZZMJFA5A

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/ZZMJFA5AS3HXXEKCUSXRWI3OXR \
  | 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: ce589283a096cf7b9142a4af1b236ebc53127048d626e7762375133078f5fb7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fdef2a372e3c45faec3125189806acdab584cc235e4dec39058601ab057fc03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-05T13:59:58Z",
    "title_canon_sha256": "cd54ab48e2a520960a50901ea17de77c06ba27da45ecd63917aa0f27fc34b84f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1998",
    "kind": "arxiv",
    "version": 1
  }
}