Pith Number

pith:TLRVEE7P

pith:2015:TLRVEE7PSIU7NZYTIXJ6WSQCBD

not attested not anchored not stored refs pending

Quasi-Concavity for Gaussian Multicast Relay Channels

Gerhard Kramer, Mohit Thakur

arxiv:1506.02703 v2 · 2015-06-08 · 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{TLRVEE7PSIU7NZYTIXJ6WSQCBD}

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	2026-05-17T23:55:34.954427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae35213ef9229f6e71345d3eb4a0208ed05635757092352b5af2de04df3ddff

Aliases

arxiv: 1506.02703 · arxiv_version: 1506.02703v2 · doi: 10.48550/arxiv.1506.02703 · pith_short_12: TLRVEE7PSIU7 · pith_short_16: TLRVEE7PSIU7NZYT · pith_short_8: TLRVEE7P

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/TLRVEE7PSIU7NZYTIXJ6WSQCBD \
  | 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: 9ae35213ef9229f6e71345d3eb4a0208ed05635757092352b5af2de04df3ddff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a4eef93f1b5b83c4bcb082260f6324b61b1433663d8daf52b2d7e5e3fe79b8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-06-08T21:04:27Z",
    "title_canon_sha256": "8e32d09fbeaf3241218743c1f252be37f04b9c60f2570be00852aa39ff5b6db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02703",
    "kind": "arxiv",
    "version": 2
  }
}