Pith Number

pith:EF7R3O2T

pith:2011:EF7R3O2T6SJ5XTJIBLI5EKGD3F

not attested not anchored not stored refs pending

A fast alternating projection method for complex frequency estimation

Fredrik Andersson, Marcus Carlsson, Per-Anders Ivert

arxiv:1107.2028 v1 · 2011-07-08 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EF7R3O2T6SJ5XTJIBLI5EKGD3F}

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	2026-05-18T04:18:33.614255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217f1dbb53f493dbcd280ad1d228c3d97757b0ba3ce2f7c61c5b1eb295ccf909

Aliases

arxiv: 1107.2028 · arxiv_version: 1107.2028v1 · doi: 10.48550/arxiv.1107.2028 · pith_short_12: EF7R3O2T6SJ5 · pith_short_16: EF7R3O2T6SJ5XTJI · pith_short_8: EF7R3O2T

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/EF7R3O2T6SJ5XTJIBLI5EKGD3F \
  | 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: 217f1dbb53f493dbcd280ad1d228c3d97757b0ba3ce2f7c61c5b1eb295ccf909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d431ccc2d7e8a1291d8d33180767eb5856c55585584be0fd3254effd837d32eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-07-08T14:16:14Z",
    "title_canon_sha256": "3c9b9bace7b1761fe197c4c4b8153033c189c0380142d4a20521c1836fa2419b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2028",
    "kind": "arxiv",
    "version": 1
  }
}