Pith Number

pith:CLLSQCLZ

pith:2012:CLLSQCLZPW7XCQFYSSO7GNTUKK

not attested not anchored not stored refs pending

A Simple Proof of Threshold Saturation for Coupled Vector Recursions

Arvind Yedla, Henry D. Pfister, Phong S. Nguyen, Yung-Yih Jian

arxiv:1208.4080 v3 · 2012-08-20 · 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{CLLSQCLZPW7XCQFYSSO7GNTUKK}

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	2026-05-18T03:35:38.360095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d72809797dbf7140b8949df336745292d31d63e106693a1dd18b5dbf4f3fe9

Aliases

arxiv: 1208.4080 · arxiv_version: 1208.4080v3 · doi: 10.48550/arxiv.1208.4080 · pith_short_12: CLLSQCLZPW7X · pith_short_16: CLLSQCLZPW7XCQFY · pith_short_8: CLLSQCLZ

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/CLLSQCLZPW7XCQFYSSO7GNTUKK \
  | 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: 12d72809797dbf7140b8949df336745292d31d63e106693a1dd18b5dbf4f3fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d845f9bb79719b0dd59bd070edc2bd96951314deb8eaf9a538fe854c04ebb117",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-20T18:35:23Z",
    "title_canon_sha256": "87adc2b2c6aa9c4253fbdfe73a4f94b10b5a0c12df716344c73e89ff3c9790c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4080",
    "kind": "arxiv",
    "version": 3
  }
}