Pith Number

pith:I3FFXLUQ

pith:2015:I3FFXLUQUC3APT3RSTEE2UQ5TU

not attested not anchored not stored refs pending

A Packing Lemma for Polar Codes

Erdal Ar{\i}kan

arxiv:1504.05793 v3 · 2015-04-22 · 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{I3FFXLUQUC3APT3RSTEE2UQ5TU}

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	2026-05-18T02:17:10.785219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ca5bae90a0b607cf7194c84d521d9d0d386d85117876e36195560cb1bda018

Aliases

arxiv: 1504.05793 · arxiv_version: 1504.05793v3 · doi: 10.48550/arxiv.1504.05793 · pith_short_12: I3FFXLUQUC3A · pith_short_16: I3FFXLUQUC3APT3R · pith_short_8: I3FFXLUQ

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/I3FFXLUQUC3APT3RSTEE2UQ5TU \
  | 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: 46ca5bae90a0b607cf7194c84d521d9d0d386d85117876e36195560cb1bda018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b3c7a696aeedde9fe74723787c6f4d55a0d7ec263310935b034a02031cdbdfc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-04-22T13:30:05Z",
    "title_canon_sha256": "35dec9762d4a1d9cf4710e68732e7d6160a3d597cb6a5cfd19015eea469f4ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05793",
    "kind": "arxiv",
    "version": 3
  }
}