Pith Number

pith:PIZ5TPI2

pith:2011:PIZ5TPI2GTERD7VSNWKVSHIMJL

not attested not anchored not stored refs pending

On Phase Transition of Compressed Sensing in the Complex Domain

Cishen Zhang, Lihua Xie, Zai Yang

arxiv:1109.2275 v2 · 2011-09-11 · 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{PIZ5TPI2GTERD7VSNWKVSHIMJL}

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	2026-05-18T02:00:34.795759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a33d9bd1a34c911feb26d95591d0c4ad8005e2ca44697b3da156c34ffc1c2c4

Aliases

arxiv: 1109.2275 · arxiv_version: 1109.2275v2 · doi: 10.48550/arxiv.1109.2275 · pith_short_12: PIZ5TPI2GTER · pith_short_16: PIZ5TPI2GTERD7VS · pith_short_8: PIZ5TPI2

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/PIZ5TPI2GTERD7VSNWKVSHIMJL \
  | 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: 7a33d9bd1a34c911feb26d95591d0c4ad8005e2ca44697b3da156c34ffc1c2c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c60faf9e9b9095601c4610d209a20372e21d7411695b7f245f1f63d286b6d4d8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-11T02:52:57Z",
    "title_canon_sha256": "7f41ffa47f66e0665400d079474eb5e24afd9295bf81367cb691727333754324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2275",
    "kind": "arxiv",
    "version": 2
  }
}