Pith Number

pith:GIJAPTQT

pith:2019:GIJAPTQTAQNUJ3B34XW2GNZOD5

not attested not anchored not stored refs pending

Phase retrieval of complex and vector-valued functions

Cheng cheng, Qiyu Sun, Yang Chen

arxiv:1909.02078 v1 · 2019-09-04 · math.FA · 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{GIJAPTQTAQNUJ3B34XW2GNZOD5}

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	2026-07-05T00:02:30.067537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

321207ce13041b44ec3be5eda3372e1f4da43e6be057932f61371bc86c1249d0

Aliases

arxiv: 1909.02078 · arxiv_version: 1909.02078v1 · doi: 10.48550/arxiv.1909.02078 · pith_short_12: GIJAPTQTAQNU · pith_short_16: GIJAPTQTAQNUJ3B3 · pith_short_8: GIJAPTQT

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/GIJAPTQTAQNUJ3B34XW2GNZOD5 \
  | 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: 321207ce13041b44ec3be5eda3372e1f4da43e6be057932f61371bc86c1249d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f407153c6012b3098f57e5b2a40dfad1499fed1c3b6ce95d1d3c3f1437c0e39",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-09-04T20:07:22Z",
    "title_canon_sha256": "794974793ae4eb929deb4da959c3c8425cf975457e63ff748130db75efb698fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02078",
    "kind": "arxiv",
    "version": 1
  }
}