Pith Number

pith:MPK3MIMZ

pith:2019:MPK3MIMZOQFVO7JO6EGR2E6GTC

not attested not anchored not stored refs pending

On Tian-Todorov lemma and its applications to deformation of CR-structures

Sheng Rao, Yongpan Zou

arxiv:1903.11877 v1 · 2019-03-28 · 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{MPK3MIMZOQFVO7JO6EGR2E6GTC}

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	2026-05-17T23:49:58.819182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63d5b62199740b577d2ef10d1d13c698838c3ca6f372793b8f2a8ad416cc26db

Aliases

arxiv: 1903.11877 · arxiv_version: 1903.11877v1 · doi: 10.48550/arxiv.1903.11877 · pith_short_12: MPK3MIMZOQFV · pith_short_16: MPK3MIMZOQFVO7JO · pith_short_8: MPK3MIMZ

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/MPK3MIMZOQFVO7JO6EGR2E6GTC \
  | 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: 63d5b62199740b577d2ef10d1d13c698838c3ca6f372793b8f2a8ad416cc26db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4840384ecc0570bb7150e8c98022391e4337f307d3b49f7bac466127c26d8fa1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-03-28T10:15:21Z",
    "title_canon_sha256": "e2449f6c6e372ff25479d56c15a1005d8a17fdb95e2af6374801d719f796c14e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11877",
    "kind": "arxiv",
    "version": 1
  }
}