Pith Number

pith:EOOFI2ZZ

pith:2026:EOOFI2ZZUD6J4MIX3HT4HGHVIK

not attested not anchored not stored refs pending

Stable Phase Retrieval for Spans of Independent Random Variables

Jaume de Dios Pont, Jo\~ao P. G. Ramos, Mitchell A. Taylor, Pedro Abdalla

arxiv:2607.06693 v1 · 2026-07-07 · math.FA · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOOFI2ZZUD6J4MIX3HT4HGHVIK}

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	2026-07-09T00:19:23.687564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

239c546b39a0fc9e3117d9e7c398f542977c4a6d9895fe1eda779d15eefc451e

Aliases

arxiv: 2607.06693 · arxiv_version: 2607.06693v1 · doi: 10.48550/arxiv.2607.06693 · pith_short_12: EOOFI2ZZUD6J · pith_short_16: EOOFI2ZZUD6J4MIX · pith_short_8: EOOFI2ZZ

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/EOOFI2ZZUD6J4MIX3HT4HGHVIK \
  | 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: 239c546b39a0fc9e3117d9e7c398f542977c4a6d9895fe1eda779d15eefc451e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84a098fe202487bb28814fb243451857fad4e17d153c9fcc38c22ef739b5f5ec",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-07T18:10:15Z",
    "title_canon_sha256": "facaadb8135b0516f76efb40ce8789c81484056cc1e2b867b00f0418c9ae139e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06693",
    "kind": "arxiv",
    "version": 1
  }
}