Pith Number

pith:6R2CRGVU

pith:2017:6R2CRGVULTIWNAHV4UIYR7UQ6N

not attested not anchored not stored refs pending

Displacement Convexity in Spatially Coupled Scalar Recursions

Nicolas Macris, Rafah El-Khatib, Ruediger Urbanke, Tom Richardson

arxiv:1701.04651 v1 · 2017-01-17 · cs.IT · math.FA · 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{6R2CRGVULTIWNAHV4UIYR7UQ6N}

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	2026-05-18T00:52:43.003619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f474289ab45cd16680f5e51188fe90f34a4ad89de4e3e1bc3c80e1b6bf721148

Aliases

arxiv: 1701.04651 · arxiv_version: 1701.04651v1 · doi: 10.48550/arxiv.1701.04651 · pith_short_12: 6R2CRGVULTIW · pith_short_16: 6R2CRGVULTIWNAHV · pith_short_8: 6R2CRGVU

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/6R2CRGVULTIWNAHV4UIYR7UQ6N \
  | 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: f474289ab45cd16680f5e51188fe90f34a4ad89de4e3e1bc3c80e1b6bf721148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e435e5e5a0ac7ea52cf837985f879c7f3bd052f5a12ed3c457ccb44724da3672",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-17T12:46:49Z",
    "title_canon_sha256": "171d61fccdf93292b5436163f81bb4a7b5560659aaf680f31cf49ffbc7a9bc92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04651",
    "kind": "arxiv",
    "version": 1
  }
}