Pith Number

pith:UWM2AZUF

pith:2016:UWM2AZUFGGM4FKQVIJDEIF6TRW

not attested not anchored not stored refs pending

Uplink-Downlink Duality for Integer-Forcing

Bobak Nazer, Shlomo Shamai, Wenbo He

arxiv:1608.03351 v2 · 2016-08-11 · 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{UWM2AZUFGGM4FKQVIJDEIF6TRW}

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	2026-05-18T00:26:37.708210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a599a066853199c2aa1542464417d38dbaecaff83ef8f959e36bc2ce69fffeca

Aliases

arxiv: 1608.03351 · arxiv_version: 1608.03351v2 · doi: 10.48550/arxiv.1608.03351 · pith_short_12: UWM2AZUFGGM4 · pith_short_16: UWM2AZUFGGM4FKQV · pith_short_8: UWM2AZUF

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/UWM2AZUFGGM4FKQVIJDEIF6TRW \
  | 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: a599a066853199c2aa1542464417d38dbaecaff83ef8f959e36bc2ce69fffeca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9eb2ca74e390fa5ec543264c00c0ed9697d5673c8307b172a7d49fb55e47191",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-11T02:31:51Z",
    "title_canon_sha256": "43fcfcb4017a7facd990d04585c897c92cc1c23f404720f7d3024c677d501cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03351",
    "kind": "arxiv",
    "version": 2
  }
}