Pith Number

pith:D4FL7RRO

pith:2013:D4FL7RRO3M6CHWMMQCWIAVDSBV

not attested not anchored not stored refs pending

Displacement Convexity, A Useful Framework for the Study of Spatially Coupled Codes

Nicolas Macris, Rafah El-Khatib, Ruediger Urbanke

arxiv:1304.6026 v2 · 2013-04-22 · 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{D4FL7RRO3M6CHWMMQCWIAVDSBV}

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	2026-05-18T03:11:59.147446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0abfc62edb3c23d98c80ac8054720d4192f5539c3ef708bf27c1b2af069fe9

Aliases

arxiv: 1304.6026 · arxiv_version: 1304.6026v2 · doi: 10.48550/arxiv.1304.6026 · pith_short_12: D4FL7RRO3M6C · pith_short_16: D4FL7RRO3M6CHWMM · pith_short_8: D4FL7RRO

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/D4FL7RRO3M6CHWMMQCWIAVDSBV \
  | 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: 1f0abfc62edb3c23d98c80ac8054720d4192f5539c3ef708bf27c1b2af069fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071f41642a120edb96deefcad35007f957bb69eb4ac4da8092d555ed27740b93",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-22T17:35:09Z",
    "title_canon_sha256": "e01021b977c2ebb18cddb58b53bdb006bc2aeda229fa233ecc50fa2cdd589ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6026",
    "kind": "arxiv",
    "version": 2
  }
}