Pith Number

pith:PFRX2TJ6

pith:2013:PFRX2TJ6R24PJ22YARDO4S2U7F

not attested not anchored not stored refs pending

Constellation Optimization in the Presence of Strong Phase Noise

Alexandre Graell i Amat, Giulio Colavolpe, Rajet Krishnan, Thomas Eriksson

arxiv:1310.1635 v1 · 2013-10-06 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFRX2TJ6R24PJ22YARDO4S2U7F}

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	2026-05-18T00:59:03.699970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79637d4d3e8eb8f4eb580446ee4b54f9759b6478b6d97cd2da3d2f0153f2566a

Aliases

arxiv: 1310.1635 · arxiv_version: 1310.1635v1 · doi: 10.48550/arxiv.1310.1635 · pith_short_12: PFRX2TJ6R24P · pith_short_16: PFRX2TJ6R24PJ22Y · pith_short_8: PFRX2TJ6

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/PFRX2TJ6R24PJ22YARDO4S2U7F \
  | 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: 79637d4d3e8eb8f4eb580446ee4b54f9759b6478b6d97cd2da3d2f0153f2566a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e117d353056ec52dcafb3e1d78231e4bef48f22e0d879a3c08dcda6783d50bd4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-10-06T21:36:07Z",
    "title_canon_sha256": "644d52e284942e71296f7b01e497a89c2035ea4dd314e467e27c9b84e50512ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1635",
    "kind": "arxiv",
    "version": 1
  }
}