Pith Number

pith:C4HTKWZS

pith:2015:C4HTKWZSIU2J6K25M6GN5GOBQN

not attested not anchored not stored refs pending

Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading

Akimichi Takemura, Christoph Koutschan, Constantin Siriteanu, Donald St. P. Richards, Hyundong Shin, Satoshi Kuriki

arxiv:1507.07056 v4 · 2015-07-25 · 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{C4HTKWZSIU2J6K25M6GN5GOBQN}

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	2026-05-18T00:58:35.233353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170f355b3245349f2b5d678cde99c183754c3cbb2672c12e5ae2747e2b4ef60b

Aliases

arxiv: 1507.07056 · arxiv_version: 1507.07056v4 · doi: 10.48550/arxiv.1507.07056 · pith_short_12: C4HTKWZSIU2J · pith_short_16: C4HTKWZSIU2J6K25 · pith_short_8: C4HTKWZS

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/C4HTKWZSIU2J6K25M6GN5GOBQN \
  | 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: 170f355b3245349f2b5d678cde99c183754c3cbb2672c12e5ae2747e2b4ef60b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aed060d1de6a50e2388d0f3c24d293905486bd26ee0c81c9e73ed228b0d808b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-25T02:51:24Z",
    "title_canon_sha256": "9cb0182f4ed44c8de6b1c2fb3a9c425cbc50edde2d6d6fd37aeecaf088460375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07056",
    "kind": "arxiv",
    "version": 4
  }
}