Pith Number

pith:RJH4EZSP

pith:2010:RJH4EZSPBD3BNFUMXLLUGQTKKT

not attested not anchored not stored refs pending

Degrees of Freedom Region of a Class of Multi-source Gaussian Relay Networks

Sae-Young Chung, Sang-Woon Jeon, Syed A. Jafar

arxiv:1005.1715 v2 · 2010-05-11 · 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{RJH4EZSPBD3BNFUMXLLUGQTKKT}

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	2026-05-18T02:24:08.521035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4fc2664f08f616968cbad743426a54fd81f09b85a51b3693e3a4cbab87a49b

Aliases

arxiv: 1005.1715 · arxiv_version: 1005.1715v2 · doi: 10.48550/arxiv.1005.1715 · pith_short_12: RJH4EZSPBD3B · pith_short_16: RJH4EZSPBD3BNFUM · pith_short_8: RJH4EZSP

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/RJH4EZSPBD3BNFUMXLLUGQTKKT \
  | 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: 8a4fc2664f08f616968cbad743426a54fd81f09b85a51b3693e3a4cbab87a49b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6acf2d0c9f29984309deb1950bc4c05fe21c61c77da2037b2f1972435e7bae",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-05-11T05:12:44Z",
    "title_canon_sha256": "da6fa8e4521fb14adec075cefc86a387249f9caedae6314931351a2d625a874c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1715",
    "kind": "arxiv",
    "version": 2
  }
}