pith. sign in
Pith Number

pith:MRA3WOQJ

pith:2016:MRA3WOQJ3V72IBOX6ARBGWK3XE
not attested not anchored not stored refs pending

Proof of Threshold Saturation for Spatially Coupled Sparse Superposition Codes

Jean Barbier, Mohamad Dia, Nicolas Macris

arxiv:1603.01817 v1 · 2016-03-06 · cs.IT · cond-mat.dis-nn · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MRA3WOQJ3V72IBOX6ARBGWK3XE}

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 2026-05-18T01:19:33.584928Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6441bb3a09dd7fa405d7f02213595bb93b8e4da2382ff9c06df331d0a889f61c

Aliases

arxiv: 1603.01817 · arxiv_version: 1603.01817v1 · doi: 10.48550/arxiv.1603.01817 · pith_short_12: MRA3WOQJ3V72 · pith_short_16: MRA3WOQJ3V72IBOX · pith_short_8: MRA3WOQJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MRA3WOQJ3V72IBOX6ARBGWK3XE \
  | 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: 6441bb3a09dd7fa405d7f02213595bb93b8e4da2382ff9c06df331d0a889f61c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "32506c4d2932586c6e507a3b476e5c18120f5833a24fe6037256b93520a9441e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-06T11:19:11Z",
    "title_canon_sha256": "86089c5080315bae9363626fbb3b0818275bab20a8a256ec6d19244db445c12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01817",
    "kind": "arxiv",
    "version": 1
  }
}