Pith Number

pith:MGIGQID3

pith:2013:MGIGQID3QVNP3I5STIN4ZTZ36X

not attested not anchored not stored refs pending

Scaling Exponent of List Decoders with Applications to Polar Codes

Marco Mondelli, R\"udiger Urbanke, S. Hamed Hassani

arxiv:1304.5220 v4 · 2013-04-18 · 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{MGIGQID3QVNP3I5STIN4ZTZ36X}

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	2026-05-18T02:42:15.054523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619068207b855afda3b29a1bcccf3bf5e1a4d538fec115c39456874202befbff

Aliases

arxiv: 1304.5220 · arxiv_version: 1304.5220v4 · doi: 10.48550/arxiv.1304.5220 · pith_short_12: MGIGQID3QVNP · pith_short_16: MGIGQID3QVNP3I5S · pith_short_8: MGIGQID3

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/MGIGQID3QVNP3I5STIN4ZTZ36X \
  | 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: 619068207b855afda3b29a1bcccf3bf5e1a4d538fec115c39456874202befbff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c3efdf2b42f43cf8bcb6f59eaa34426ceee38c1eaa3e4d04cc647bc0217513",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-18T18:47:39Z",
    "title_canon_sha256": "9b578914b99e55c3adf5e0aee3bf2a435c802025fa294224d951d6deb9028c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5220",
    "kind": "arxiv",
    "version": 4
  }
}