Pith Number

pith:3CBDEDGD

pith:2025:3CBDEDGDOMESXQQ2JDG4J2JRXT

not attested not anchored not stored refs pending

Zak-OTFS based Multiuser Uplink in Doubly-Spread Channels

Ananthanarayanan Chockalingam, Imran Ali khan, Robert Calderbank, Ronny Hadani, Saif Khan Mohammed

arxiv:2507.15621 v1 · 2025-07-21 · eess.SP · 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{3CBDEDGDOMESXQQ2JDG4J2JRXT}

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.

Cited by

2 papers in Pith

Multiuser Zak-OTFS on the Uplink with Superimposed Spread-Pilots

Jamming-Resilient Sparse Delay-Doppler NOMA: Unitary Precoding, Randomized Active Sets, and Superincreasing Power Allocation

Receipt and verification

First computed	2026-07-05T11:40:40.513337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d882320cc373092bc21a48cdc4e931bce1168afd26d088fa6f41572521f8565e

Aliases

arxiv: 2507.15621 · arxiv_version: 2507.15621v1 · doi: 10.48550/arxiv.2507.15621 · pith_short_12: 3CBDEDGDOMES · pith_short_16: 3CBDEDGDOMESXQQ2 · pith_short_8: 3CBDEDGD

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/3CBDEDGDOMESXQQ2JDG4J2JRXT \
  | 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: d882320cc373092bc21a48cdc4e931bce1168afd26d088fa6f41572521f8565e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e14dee13ee212f8ac9d893f2fd956c603aa61bf6237e88fd0136f3b8930c03",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2025-07-21T13:44:51Z",
    "title_canon_sha256": "4bdde0e84594981ee67c0ba79b2f97bf7a4014d6ad7a0f9c020102e6e99c31e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15621",
    "kind": "arxiv",
    "version": 1
  }
}