Pith Number

pith:TG7POE4E

pith:2015:TG7POE4EL7HEA67IEBYU4OF6RQ

not attested not anchored not stored refs pending

The Schwarzian derivative and M\"obius equation on strictly pseudo-convex CR manifolds

Duong Ngoc Son

arxiv:1512.01663 v2 · 2015-12-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TG7POE4EL7HEA67IEBYU4OF6RQ}

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	2026-05-18T00:16:24.132553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99bef713845fce407be820714e38be8c09fced6a4f8e98df0fa92ddda7fa1957

Aliases

arxiv: 1512.01663 · arxiv_version: 1512.01663v2 · doi: 10.48550/arxiv.1512.01663 · pith_short_12: TG7POE4EL7HE · pith_short_16: TG7POE4EL7HEA67I · pith_short_8: TG7POE4E

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/TG7POE4EL7HEA67IEBYU4OF6RQ \
  | 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: 99bef713845fce407be820714e38be8c09fced6a4f8e98df0fa92ddda7fa1957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9911675c098c9d5e2f48f1f20706690e9dbd2527b87aa1f16e065c5dd94fcc70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-12-05T13:24:22Z",
    "title_canon_sha256": "4a7c47827edf137bbe897d81c66c4b453a9b032c9ebd536608e71faf83efbb48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01663",
    "kind": "arxiv",
    "version": 2
  }
}