Pith Number

pith:SAQAXS2I

pith:2019:SAQAXS2I4TLSM2ZP2QCWV2QOFD

not attested not anchored not stored refs pending

Channel Extrapolation in FDD Massive MIMO: Theoretical Analysis and Numerical Validation

Andreas F. Molisch, Fran\c{c}ois Rottenberg, Jianzhong Zhang, Rui Wang

arxiv:1902.06844 v1 · 2019-02-19 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SAQAXS2I4TLSM2ZP2QCWV2QOFD}

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	2026-05-17T23:53:40.620016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90200bcb48e4d7266b2fd4056aea0e28d55562879528d0144262fcd729039ffc

Aliases

arxiv: 1902.06844 · arxiv_version: 1902.06844v1 · doi: 10.48550/arxiv.1902.06844 · pith_short_12: SAQAXS2I4TLS · pith_short_16: SAQAXS2I4TLSM2ZP · pith_short_8: SAQAXS2I

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/SAQAXS2I4TLSM2ZP2QCWV2QOFD \
  | 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: 90200bcb48e4d7266b2fd4056aea0e28d55562879528d0144262fcd729039ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf376c0956379ed3ac0ce1c83bc7f31b109c5fc1553ec4b634ae9bb843b4dd3a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-02-19T00:10:35Z",
    "title_canon_sha256": "33ed6c7b1767ddba5c64b3d70045db6bd4c7ce428675f960410ebeb6126f8202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06844",
    "kind": "arxiv",
    "version": 1
  }
}