Pith Number

pith:UJ325PSW

pith:2010:UJ325PSW5Q2SEV635LNWO4V3NO

not attested not anchored not stored refs pending

Universal polar coding and sparse recovery

Emmanuel Abbe

arxiv:1012.0367 v1 · 2010-12-02 · 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{UJ325PSW5Q2SEV635LNWO4V3NO}

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	2026-05-18T04:34:17.912548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a277aebe56ec352257dbeadb6772bb6b9e6160fbbd9fb13373fc69476f64a19d

Aliases

arxiv: 1012.0367 · arxiv_version: 1012.0367v1 · doi: 10.48550/arxiv.1012.0367 · pith_short_12: UJ325PSW5Q2S · pith_short_16: UJ325PSW5Q2SEV63 · pith_short_8: UJ325PSW

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/UJ325PSW5Q2SEV635LNWO4V3NO \
  | 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: a277aebe56ec352257dbeadb6772bb6b9e6160fbbd9fb13373fc69476f64a19d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a1d3aa457b8e7a5c8fb9ee5fe82cae659752aecc5ea9ab9a15669a307e6203",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-02T02:10:25Z",
    "title_canon_sha256": "03918cc03ea311d560d60df2ff4a21eafcae0fa57439e06a2834fc459a0291d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0367",
    "kind": "arxiv",
    "version": 1
  }
}