Pith Number

pith:2VMZSXA4

pith:2014:2VMZSXA4WC5XY72AI6AC3VC7XB

not attested not anchored not stored refs pending

The Algebraic Approach to Phase Retrieval and Explicit Inversion at the Identifiability Threshold

Franz J Kir\'aly, Martin Ehler

arxiv:1402.4053 v1 · 2014-02-17 · math.FA · cs.CV · cs.IT · math.AG · math.IT · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VMZSXA4WC5XY72AI6AC3VC7XB}

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	2026-05-18T02:58:47.433694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d559995c1cb0bb7c7f4047802dd45fb869c05421d4c9f8c47ec51ea4f195dc79

Aliases

arxiv: 1402.4053 · arxiv_version: 1402.4053v1 · doi: 10.48550/arxiv.1402.4053 · pith_short_12: 2VMZSXA4WC5X · pith_short_16: 2VMZSXA4WC5XY72A · pith_short_8: 2VMZSXA4

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/2VMZSXA4WC5XY72AI6AC3VC7XB \
  | 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: d559995c1cb0bb7c7f4047802dd45fb869c05421d4c9f8c47ec51ea4f195dc79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f01a1bed04dbce466be7c857377c461f6fb55896340adb4ab94fef5af773ce",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.IT",
      "math.AG",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-17T16:49:38Z",
    "title_canon_sha256": "a89e45a7c20b01f2853695401aa82bb0180c0dc9c4ec37cf0a6f43fe36d90382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4053",
    "kind": "arxiv",
    "version": 1
  }
}