Pith Number

pith:HQ7CEYZ4

pith:2018:HQ7CEYZ4IPYX3WFK6DJTLZOCHP

not attested not anchored not stored refs pending

The fundamental and rigidity theorems for pseudohermitian submanifolds in the Heisenberg groups

Hung-Lin Chiu

arxiv:1802.04701 v1 · 2018-02-13 · 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{HQ7CEYZ4IPYX3WFK6DJTLZOCHP}

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	2026-05-18T00:23:41.623048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3e22633c43f17dd8aaf0d335e5c23bc3ba6cf5be23a74b7d0709f826180e0e

Aliases

arxiv: 1802.04701 · arxiv_version: 1802.04701v1 · doi: 10.48550/arxiv.1802.04701 · pith_short_12: HQ7CEYZ4IPYX · pith_short_16: HQ7CEYZ4IPYX3WFK · pith_short_8: HQ7CEYZ4

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/HQ7CEYZ4IPYX3WFK6DJTLZOCHP \
  | 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: 3c3e22633c43f17dd8aaf0d335e5c23bc3ba6cf5be23a74b7d0709f826180e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "962562c7d604394cd89c3035fa83fc6ac72c5bcd7c19c379e0d76f8d590b4b81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-13T16:12:45Z",
    "title_canon_sha256": "dd75d672b2018d905607c7cc8b6aaeee956eebd2f7506d162a2d642b27387d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04701",
    "kind": "arxiv",
    "version": 1
  }
}