Pith Number

pith:2JFFXORW

pith:2010:2JFFXORWHAHYXUTDMSDYY2FVGJ

not attested not anchored not stored refs pending

Capacity-Achieving Polar Codes for Arbitrarily-Permuted Parallel Channels

Chao Tian, Eran Hof, Igal Sason, Shlomo Shamai

arxiv:1005.2770 v3 · 2010-05-16 · 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{2JFFXORWHAHYXUTDMSDYY2FVGJ}

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	2026-05-18T02:23:59.544650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d24a5bba36380f8bd26364878c68b5326fcf288c56adbb6d18404ec5b795144a

Aliases

arxiv: 1005.2770 · arxiv_version: 1005.2770v3 · doi: 10.48550/arxiv.1005.2770 · pith_short_12: 2JFFXORWHAHY · pith_short_16: 2JFFXORWHAHYXUTD · pith_short_8: 2JFFXORW

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/2JFFXORWHAHYXUTDMSDYY2FVGJ \
  | 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: d24a5bba36380f8bd26364878c68b5326fcf288c56adbb6d18404ec5b795144a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9473abf1a01e6f46a65405769e6c1ff83239cbb25bd8673f017671f902107421",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-05-16T18:53:47Z",
    "title_canon_sha256": "1d2287a8379dee1d867dc687b35187e49805475acdc83f1c112d931f5f20ff93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2770",
    "kind": "arxiv",
    "version": 3
  }
}