Pith Number

pith:RANBJX5N

pith:2018:RANBJX5NMMF75QITCGFDVEIUKG

not attested not anchored not stored refs pending

The Beta- flatness Condition in CR Spheres Multiplicity Results

Akrem Makni, Boutheina Hafassa, Najoua Gamara

arxiv:1812.09614 v1 · 2018-12-22 · 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{RANBJX5NMMF75QITCGFDVEIUKG}

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	2026-05-17T23:57:27.362528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881a14dfad630bfec113118a3a91145190d52c4dd9f55f66afb8fd6d79919686

Aliases

arxiv: 1812.09614 · arxiv_version: 1812.09614v1 · doi: 10.48550/arxiv.1812.09614 · pith_short_12: RANBJX5NMMF7 · pith_short_16: RANBJX5NMMF75QIT · pith_short_8: RANBJX5N

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/RANBJX5NMMF75QITCGFDVEIUKG \
  | 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: 881a14dfad630bfec113118a3a91145190d52c4dd9f55f66afb8fd6d79919686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c007bff044c891085a9c85c06014893e6f2555eaa70511921e736cfa05f3e2ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-22T22:34:04Z",
    "title_canon_sha256": "8a5b8a2ef5304b21921ab4ed1e5b52f2da4939ab13283e4a3cbb495df09d98e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09614",
    "kind": "arxiv",
    "version": 1
  }
}