Pith Number

pith:4PEKJYAI

pith:2011:4PEKJYAI6EV7L4RPZYCQ4A6GTL

not attested not anchored not stored refs pending

Frequency Diversity in Mode-Division Multiplexing Systems

Joseph M. Kahn, Keang-Po Ho

arxiv:1108.4488 v1 · 2011-08-23 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PEKJYAI6EV7L4RPZYCQ4A6GTL}

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	2026-05-18T03:36:37.136612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c8a4e008f12bf5f22fce050e03c69adf5a5dbcbca007d25e26c4b2827a667a

Aliases

arxiv: 1108.4488 · arxiv_version: 1108.4488v1 · doi: 10.48550/arxiv.1108.4488 · pith_short_12: 4PEKJYAI6EV7 · pith_short_16: 4PEKJYAI6EV7L4RP · pith_short_8: 4PEKJYAI

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/4PEKJYAI6EV7L4RPZYCQ4A6GTL \
  | 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: e3c8a4e008f12bf5f22fce050e03c69adf5a5dbcbca007d25e26c4b2827a667a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eae7bdc0e0ec43f284aa74d1e165a7b497d38c3224cebd658680359e0107419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-08-23T04:11:57Z",
    "title_canon_sha256": "18aa12486cd7d5721cf719e0294aa382504452a1ee4e5cba4638f3d9ca765ea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4488",
    "kind": "arxiv",
    "version": 1
  }
}