Pith Number

pith:34GFKUQU

pith:2026:34GFKUQUVEIVLTTKLQGXOS353I

not attested not anchored not stored refs pending

Phase Retrieval in $\mathbb C^4$ Requires Exactly Eleven Measurements

Meng Huang

arxiv:2607.27719 v1 · 2026-07-30 · quant-ph · cs.IT · math.DG · 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{34GFKUQUVEIVLTTKLQGXOS353I}

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	2026-07-31T01:30:00.889818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

df0c555214a91155ce6a5c0d774b7dda02f6de6694e7d880376382c3007864bc

Aliases

arxiv: 2607.27719 · arxiv_version: 2607.27719v1 · doi: 10.48550/arxiv.2607.27719 · pith_short_12: 34GFKUQUVEIV · pith_short_16: 34GFKUQUVEIVLTTK · pith_short_8: 34GFKUQU

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/34GFKUQUVEIVLTTKLQGXOS353I \
  | 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: df0c555214a91155ce6a5c0d774b7dda02f6de6694e7d880376382c3007864bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c64159f9bc044904ae876670dfbf286b8e2533a865625f2ad66ca9262ad5663",
    "cross_cats_sorted": [
      "cs.IT",
      "math.DG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-30T05:56:44Z",
    "title_canon_sha256": "e5e41d5691cdb82ed94c7daa7f44983de24902b2296525e8f01759a3c872d8ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27719",
    "kind": "arxiv",
    "version": 1
  }
}