Pith Number

pith:DIOAP6MF

pith:2019:DIOAP6MF7DHH4BRUP3QZ26QZCC

not attested not anchored not stored refs pending

On the Sobolev quotient of three-dimensional CR manifolds

Andrea Malchiodi, Jih-Hsin Cheng, Paul Yang

arxiv:1904.04665 v1 · 2019-04-09 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIOAP6MF7DHH4BRUP3QZ26QZCC}

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	2026-05-17T23:48:58.478006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1c07f985f8ce7e06347ee19d7a19108b49b05bf81ad9fe98a6429ea63b4295

Aliases

arxiv: 1904.04665 · arxiv_version: 1904.04665v1 · doi: 10.48550/arxiv.1904.04665 · pith_short_12: DIOAP6MF7DHH · pith_short_16: DIOAP6MF7DHH4BRU · pith_short_8: DIOAP6MF

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/DIOAP6MF7DHH4BRUP3QZ26QZCC \
  | 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: 1a1c07f985f8ce7e06347ee19d7a19108b49b05bf81ad9fe98a6429ea63b4295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac9ec9ae0fb1f51182b531662275a9fb8ca11235e61b11c4fefe33b7fef7a041",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-09T13:42:06Z",
    "title_canon_sha256": "764bdbe3dda401e8cab59a5aa31fbe9a16347331b34167e72c8f7d781ef25abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04665",
    "kind": "arxiv",
    "version": 1
  }
}