Pith Number

pith:4ZPKMQSK

pith:2017:4ZPKMQSK2RUT4EVDHAN5FV2K23

not attested not anchored not stored refs pending

Singular perturbations for a subelliptic operator

Claudio Marchi, Nicoletta Tchou, Paola Mannucci

arxiv:1702.01008 v2 · 2017-02-03 · 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{4ZPKMQSK2RUT4EVDHAN5FV2K23}

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	2026-05-18T00:49:36.244596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e65ea6424ad4693e12a3381bd2d74ad6e2c4726b5729452a06eacb4736db28c1

Aliases

arxiv: 1702.01008 · arxiv_version: 1702.01008v2 · doi: 10.48550/arxiv.1702.01008 · pith_short_12: 4ZPKMQSK2RUT · pith_short_16: 4ZPKMQSK2RUT4EVD · pith_short_8: 4ZPKMQSK

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/4ZPKMQSK2RUT4EVDHAN5FV2K23 \
  | 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: e65ea6424ad4693e12a3381bd2d74ad6e2c4726b5729452a06eacb4736db28c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2354029b28c85caec7d3c49b818e22a699d817f06db583b9f65320e00ca91f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-03T13:54:27Z",
    "title_canon_sha256": "9ebab13181ab35f2631b051c4386b5a86c64d5228034524f5bc84147bcf5a0ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01008",
    "kind": "arxiv",
    "version": 2
  }
}