Pith Number

pith:L73YGLW7

pith:2019:L73YGLW7VJJIETC74VFHJBVDCJ

not attested not anchored not stored refs pending

Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds

Rodney Josu\'e Biezuner, Yuri Ximenes Martins

arxiv:1908.04442 v3 · 2019-08-13 · 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{L73YGLW7VJJIETC74VFHJBVDCJ}

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	2026-07-05T02:33:52.791158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff7832edfaa52824c5fe54a7486a3127c00a6828d9c4a9a887463e93ef1e326

Aliases

arxiv: 1908.04442 · arxiv_version: 1908.04442v3 · doi: 10.48550/arxiv.1908.04442 · pith_short_12: L73YGLW7VJJI · pith_short_16: L73YGLW7VJJIETC7 · pith_short_8: L73YGLW7

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/L73YGLW7VJJIETC74VFHJBVDCJ \
  | 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: 5ff7832edfaa52824c5fe54a7486a3127c00a6828d9c4a9a887463e93ef1e326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "572cbe2d5e7f6aa94f117e66b7fe52362efa31d35533c1dab57f979f630b5c65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-13T00:02:39Z",
    "title_canon_sha256": "8f33b5b3fda942d6cdebfd2c7f4d1c35f875b7cee3f6f2b199bfce36a3d6fbfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04442",
    "kind": "arxiv",
    "version": 3
  }
}