Pith Number

pith:6FFLF7FW

pith:2010:6FFLF7FW5O6U7N6NILSTTUVIHC

not attested not anchored not stored refs pending

On a Low-Rate TLDPC Code Ensemble and the Necessary Condition on the Linear Minimum Distance for Sparse-Graph Codes

Iryna Andriyanova, Jean-Pierre Tillich

arxiv:1010.1911 v1 · 2010-10-10 · 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{6FFLF7FW5O6U7N6NILSTTUVIHC}

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	2026-05-18T04:39:30.065362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f14ab2fcb6ebbd4fb7cd42e539d2a83880d5ba0a7dbb4859ee402835a87d6ea2

Aliases

arxiv: 1010.1911 · arxiv_version: 1010.1911v1 · doi: 10.48550/arxiv.1010.1911 · pith_short_12: 6FFLF7FW5O6U · pith_short_16: 6FFLF7FW5O6U7N6N · pith_short_8: 6FFLF7FW

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/6FFLF7FW5O6U7N6NILSTTUVIHC \
  | 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: f14ab2fcb6ebbd4fb7cd42e539d2a83880d5ba0a7dbb4859ee402835a87d6ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdedc40407dc391b8cf1923036689fcd57cf1482cf66aa66ea16a3276d9c2326",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-10-10T11:35:45Z",
    "title_canon_sha256": "8101d4accb55d336cd5b88d145328ae8595561906253402ed39ad7780b5a91c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1911",
    "kind": "arxiv",
    "version": 1
  }
}