Pith Number

pith:3C7MXCMQ

pith:2024:3C7MXCMQWZ3PRN5AZSQTXFEERG

not attested not anchored not stored refs pending

Improved Bounds on the Number of Support Points of the Capacity-Achieving Input for Amplitude Constrained Poisson Channels

Alex Dytso, Luca Barletta, Shlomo Shamai (Shitz)

arxiv:2401.05045 v1 · 2024-01-10 · 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{3C7MXCMQWZ3PRN5AZSQTXFEERG}

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	2026-07-05T07:32:02.261583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8becb8990b676f8b7a0cca13b9484898f08eca3095367ab78c2edc9ac0456f0

Aliases

arxiv: 2401.05045 · arxiv_version: 2401.05045v1 · doi: 10.48550/arxiv.2401.05045 · pith_short_12: 3C7MXCMQWZ3P · pith_short_16: 3C7MXCMQWZ3PRN5A · pith_short_8: 3C7MXCMQ

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/3C7MXCMQWZ3PRN5AZSQTXFEERG \
  | 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: d8becb8990b676f8b7a0cca13b9484898f08eca3095367ab78c2edc9ac0456f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1100c39a7a91fef0bfb55e0f79bd7b4481976e51ecbb0e2523bdfed27cd3b98b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2024-01-10T10:06:42Z",
    "title_canon_sha256": "758b74a500b3a290eea75022213865c13be687fb52e8ed9a5484f1885519eebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.05045",
    "kind": "arxiv",
    "version": 1
  }
}