Pith Number

pith:AQYYJ6WM

pith:2025:AQYYJ6WMUX6UJF5T64DOZSDUTA

not attested not anchored not stored refs pending

Sharp Stability of Global Compactness on the Heisenberg Group

Hua Chen, Xin Liao, Yun-lu Fan

arxiv:2506.11404 v1 · 2025-06-13 · 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{AQYYJ6WMUX6UJF5T64DOZSDUTA}

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	2026-07-05T11:21:03.800951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

043184facca5fd4497b3f706ecc874983169da8930fbb5813d1c95d252c50311

Aliases

arxiv: 2506.11404 · arxiv_version: 2506.11404v1 · doi: 10.48550/arxiv.2506.11404 · pith_short_12: AQYYJ6WMUX6U · pith_short_16: AQYYJ6WMUX6UJF5T · pith_short_8: AQYYJ6WM

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/AQYYJ6WMUX6UJF5T64DOZSDUTA \
  | 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: 043184facca5fd4497b3f706ecc874983169da8930fbb5813d1c95d252c50311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d147e720f1ed8b72bee4ec90e30e6657cb861af9d647a811aa40776920e9d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-13T02:04:47Z",
    "title_canon_sha256": "da547b56d7dc03ded69606ceafdeca6fe18dfbafef18ff468f19762f69850721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11404",
    "kind": "arxiv",
    "version": 1
  }
}