Pith Number

pith:4NIBCVAW

pith:2016:4NIBCVAWROUFGHOSZT5FD6BCYC

not attested not anchored not stored refs pending

Non-Linear Programming: Maximize SNR for Designing Spreading Sequence - Part II: Conditions for Optimal Spreading Sequences

Hirofumi Tsuda, Ken Umeno

arxiv:1612.08785 v1 · 2016-12-28 · 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{4NIBCVAWROUFGHOSZT5FD6BCYC}

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	2026-05-18T00:53:47.160481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3501154168ba8531dd2ccfa51f822c09bb4d9c6e2bc3aa1be35d093eff0098c

Aliases

arxiv: 1612.08785 · arxiv_version: 1612.08785v1 · doi: 10.48550/arxiv.1612.08785 · pith_short_12: 4NIBCVAWROUF · pith_short_16: 4NIBCVAWROUFGHOS · pith_short_8: 4NIBCVAW

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/4NIBCVAWROUFGHOSZT5FD6BCYC \
  | 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: e3501154168ba8531dd2ccfa51f822c09bb4d9c6e2bc3aa1be35d093eff0098c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4932527d3ddc4f2259469faff8547131986c3afd6454ff27c4b3ceb57c7cc204",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-28T01:40:44Z",
    "title_canon_sha256": "e2beabb36097718026eee0303eb87834404ff26e1c7f3dfc436edd6973440613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08785",
    "kind": "arxiv",
    "version": 1
  }
}