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Pith Number

pith:VAWKCCOF

pith:2014:VAWKCCOFFPLABG2TWY5DMVPXDS
not attested not anchored not stored refs pending

Phase retrieval and norm retrieval

Jameson Cahill, John Jasper, Lindsey M. Woodland, Peter G. Casazza, Saeid Bahmanpour

arxiv:1409.8266 v1 · 2014-09-29 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VAWKCCOFFPLABG2TWY5DMVPXDS}

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 2026-05-18T02:41:33.473335Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a82ca109c52bd6009b53b63a3655f71cbdd46e1ec076b0de5f5a0a84b2e5cbc2

Aliases

arxiv: 1409.8266 · arxiv_version: 1409.8266v1 · doi: 10.48550/arxiv.1409.8266 · pith_short_12: VAWKCCOFFPLA · pith_short_16: VAWKCCOFFPLABG2T · pith_short_8: VAWKCCOF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VAWKCCOFFPLABG2TWY5DMVPXDS \
  | 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: a82ca109c52bd6009b53b63a3655f71cbdd46e1ec076b0de5f5a0a84b2e5cbc2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "10f9887e2558e54cb3c110816427fbe86a788a3a03b24a631f9be9013913f772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-29T19:51:58Z",
    "title_canon_sha256": "28525d2a482a325c1423f7788852bd269aeae05fc553e73d66e36fc6d92da43a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8266",
    "kind": "arxiv",
    "version": 1
  }
}