Pith Number

pith:7QS4RHSY

pith:2012:7QS4RHSYZW6QRILUIMENUOG5VZ

not attested not anchored not stored refs pending

Associated Families of Immersions of Three Dimensional CR Manifolds in Euclidean Spaces

Andrea Altomani, Marie-Am\'elie Lawn

arxiv:1202.4624 v1 · 2012-02-21 · 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{7QS4RHSYZW6QRILUIMENUOG5VZ}

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	2026-05-18T04:01:50.245530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc25c89e58cdbd08a1744308da38ddae4ea94a1c5fde67f9f041d66253a0e64e

Aliases

arxiv: 1202.4624 · arxiv_version: 1202.4624v1 · doi: 10.48550/arxiv.1202.4624 · pith_short_12: 7QS4RHSYZW6Q · pith_short_16: 7QS4RHSYZW6QRILU · pith_short_8: 7QS4RHSY

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/7QS4RHSYZW6QRILUIMENUOG5VZ \
  | 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: fc25c89e58cdbd08a1744308da38ddae4ea94a1c5fde67f9f041d66253a0e64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53885e77bc6d1d4f7b32155b0583d5693d4196de5d2a04db5d61bb4d30b58fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-21T12:45:00Z",
    "title_canon_sha256": "1182a4bc6953008ed3cebcb65e6d218f5dafb8cafa39d710035d93e7438a4c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4624",
    "kind": "arxiv",
    "version": 1
  }
}