Pith Number

pith:XMZKIULE

pith:2013:XMZKIULEOFIEIQ737RFLTIRXRY

not attested not anchored not stored refs pending

Equivalences of 5-dimensional CR manifolds (II): General classes I, II, III-1, III-2, IV-1, IV-2

Joel Merker (LM-Orsay), Masoud Sabzevari (Shahrekord), Samuel Pocchiola (LM-Orsay)

arxiv:1311.5669 v1 · 2013-11-22 · math.CV · 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{XMZKIULEOFIEIQ737RFLTIRXRY}

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	2026-05-18T03:06:23.579185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb32a4516471504443fbfc4ab9a2378e1b3475e0e00534b8110c48959541928d

Aliases

arxiv: 1311.5669 · arxiv_version: 1311.5669v1 · doi: 10.48550/arxiv.1311.5669 · pith_short_12: XMZKIULEOFIE · pith_short_16: XMZKIULEOFIEIQ73 · pith_short_8: XMZKIULE

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/XMZKIULEOFIEIQ737RFLTIRXRY \
  | 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: bb32a4516471504443fbfc4ab9a2378e1b3475e0e00534b8110c48959541928d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b5714384dd50c72b5f5229c7ed862793ea832288c92f59ada7070a41e344c9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-22T07:59:39Z",
    "title_canon_sha256": "8778b630597d4306b697e06b3f72347b5591a37324b75c6df666eb8f8aacfa28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5669",
    "kind": "arxiv",
    "version": 1
  }
}