Pith Number

pith:BGYYYFST

pith:2021:BGYYYFSTXO5VYMNXMAQDOLPLWR

not attested not anchored not stored refs pending

Eigenvector Phase Retrieval: Recovering eigenvectors from the absolute value of their entries

Hau-Tieng Wu, Stefan Steinerberger

arxiv:2109.11143 v3 · 2021-09-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGYYYFSTXO5VYMNXMAQDOLPLWR}

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	2026-07-05T04:45:47.301544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b18c1653bbbb5c31b76020372debb44b6868fee8a51fbdae9e68eb8074f9a3

Aliases

arxiv: 2109.11143 · arxiv_version: 2109.11143v3 · doi: 10.48550/arxiv.2109.11143 · pith_short_12: BGYYYFSTXO5V · pith_short_16: BGYYYFSTXO5VYMNX · pith_short_8: BGYYYFST

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/BGYYYFSTXO5VYMNXMAQDOLPLWR \
  | 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: 09b18c1653bbbb5c31b76020372debb44b6868fee8a51fbdae9e68eb8074f9a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23206bfb8bd779f2bb4a29cddef3d3565d469051746838fbeed634cf2e6dfba1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-09-23T05:00:32Z",
    "title_canon_sha256": "78f7b0e6e24bf7404dab961c7148457f355129c58c2526669be3c3a91818ddfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11143",
    "kind": "arxiv",
    "version": 3
  }
}