Pith Number

pith:3GVMIK6T

pith:2015:3GVMIK6T7WDJBDPEG55N2L3GTK

not attested not anchored not stored refs pending

On Lipschitz Analysis and Lipschitz Synthesis for the Phase Retrieval Problem

Dongmian Zou, Radu Balan

arxiv:1506.02092 v1 · 2015-06-06 · math.FA · math.OC · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GVMIK6T7WDJBDPEG55N2L3GTK}

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	2026-05-18T01:55:52.105980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9aac42bd3fd86908de4377add2f669a9bf61fb1f157cbb026db6948076bc842

Aliases

arxiv: 1506.02092 · arxiv_version: 1506.02092v1 · doi: 10.48550/arxiv.1506.02092 · pith_short_12: 3GVMIK6T7WDJ · pith_short_16: 3GVMIK6T7WDJBDPE · pith_short_8: 3GVMIK6T

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/3GVMIK6T7WDJBDPEG55N2L3GTK \
  | 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: d9aac42bd3fd86908de4377add2f669a9bf61fb1f157cbb026db6948076bc842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2250df6986ef49aebdb5f21ff79381cea81810c6a735b17aaab3b2cd5974986",
    "cross_cats_sorted": [
      "math.OC",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-06T00:33:27Z",
    "title_canon_sha256": "13a6768626cf9a30298480e2874d45b3b0c586afe8c3f2921f67dfac47e2ff93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02092",
    "kind": "arxiv",
    "version": 1
  }
}