Pith Number

pith:3UNBJCHM

pith:2015:3UNBJCHMTFC27O2OIS76UWJQ7L

not attested not anchored not stored refs pending

Desingularization of Lie groupoids and pseudodifferential operators on singular spaces

Victor Nistor

arxiv:1512.08613 v1 · 2015-12-29 · math.DG · math-ph · math.AP · math.MP · math.OA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UNBJCHMTFC27O2OIS76UWJQ7L}

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	2026-05-18T01:23:37.160904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1a1488ec9945afbb4e44bfea5930fadfe5bb7f86afcd8e4b7fdce264ed2e7c

Aliases

arxiv: 1512.08613 · arxiv_version: 1512.08613v1 · doi: 10.48550/arxiv.1512.08613 · pith_short_12: 3UNBJCHMTFC2 · pith_short_16: 3UNBJCHMTFC27O2O · pith_short_8: 3UNBJCHM

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/3UNBJCHMTFC27O2OIS76UWJQ7L \
  | 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: dd1a1488ec9945afbb4e44bfea5930fadfe5bb7f86afcd8e4b7fdce264ed2e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fdfc90c133eb2b9141fe4193c8c9ff8fee2a93509a7fe13bd5b1bdab2fe9e5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.OA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-29T08:11:12Z",
    "title_canon_sha256": "fa9eb57cb78d03f2bcbd161c3feb75952175e265b8631187051d0ec38e83f467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08613",
    "kind": "arxiv",
    "version": 1
  }
}