Pith Number

pith:F6U4JAPS

pith:2018:F6U4JAPSKRK3V4RYQ7BQVFS5OF

not attested not anchored not stored refs pending

Phase Retrieval in $\ell_2(\RR)$

Desai Cheng, John Haas, Peter G. Casazza, Sara Botelho-Andrade, Tin T. Tran

arxiv:1804.01139 v1 · 2018-04-03 · 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{F6U4JAPSKRK3V4RYQ7BQVFS5OF}

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	2026-05-18T00:19:15.992195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fa9c481f25455baf23887c30a965d7170aa5b17efde0b4b003d69414c315b40

Aliases

arxiv: 1804.01139 · arxiv_version: 1804.01139v1 · doi: 10.48550/arxiv.1804.01139 · pith_short_12: F6U4JAPSKRK3 · pith_short_16: F6U4JAPSKRK3V4RY · pith_short_8: F6U4JAPS

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/F6U4JAPSKRK3V4RYQ7BQVFS5OF \
  | 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: 2fa9c481f25455baf23887c30a965d7170aa5b17efde0b4b003d69414c315b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2471c1ad82aae20fe4201231b458ab61c71815406430f383dd0b52b79951fd7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-03T19:23:15Z",
    "title_canon_sha256": "22cf63554ad81bb94600dc2129a2f0f4e0f62f9940d7702793466783cf039807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01139",
    "kind": "arxiv",
    "version": 1
  }
}