Pith Number

pith:QQCQDI3S

pith:2012:QQCQDI3SHXVJMHM2M46626UEQY

not attested not anchored not stored refs pending

Universal Bounds on the Scaling Behavior of Polar Codes

Ali Goli, Rudiger Urbanke, S. Hamed Hassani

arxiv:1205.2876 v1 · 2012-05-13 · 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{QQCQDI3SHXVJMHM2M46626UEQY}

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	2026-05-18T03:55:45.774166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840501a3723dea961d9a673ded7a84862e9908120d7031c393f211fb00ebb647

Aliases

arxiv: 1205.2876 · arxiv_version: 1205.2876v1 · doi: 10.48550/arxiv.1205.2876 · pith_short_12: QQCQDI3SHXVJ · pith_short_16: QQCQDI3SHXVJMHM2 · pith_short_8: QQCQDI3S

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/QQCQDI3SHXVJMHM2M46626UEQY \
  | 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: 840501a3723dea961d9a673ded7a84862e9908120d7031c393f211fb00ebb647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d4f0cc6494fba178fa3a3ea146259e865567f939ed43d52426128939d763ea",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-13T15:20:24Z",
    "title_canon_sha256": "06a5608b7721509d1c3036685f12dd98c9dfe03b7d295f20288d7e3cc0bab40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2876",
    "kind": "arxiv",
    "version": 1
  }
}