Pith Number

pith:JGRVUYII

pith:2016:JGRVUYII5SWOS3CBT5ZOEUEWWL

not attested not anchored not stored refs pending

On Properties of the Support of Capacity-Achieving Distributions for Additive Noise Channel Models with Input Cost Constraints

Ibrahim Abou-Faycal, Jihad Fahs

arxiv:1602.00878 v2 · 2016-02-02 · 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{JGRVUYII5SWOS3CBT5ZOEUEWWL}

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	2026-05-18T00:30:28.865941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49a35a6108ecace96c419f72e25096b2dcdb186f720ba2ad2abb723ff1f5dbb8

Aliases

arxiv: 1602.00878 · arxiv_version: 1602.00878v2 · doi: 10.48550/arxiv.1602.00878 · pith_short_12: JGRVUYII5SWO · pith_short_16: JGRVUYII5SWOS3CB · pith_short_8: JGRVUYII

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/JGRVUYII5SWOS3CBT5ZOEUEWWL \
  | 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: 49a35a6108ecace96c419f72e25096b2dcdb186f720ba2ad2abb723ff1f5dbb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c5e029205180154783121fcf58357c620a24a75e71bf53e490862fe8dc4ad3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-02-02T11:01:11Z",
    "title_canon_sha256": "04111a10ef59d4af5bdadc5f8070c80b0b25a0ab7f542cbae369f7f9098aa218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00878",
    "kind": "arxiv",
    "version": 2
  }
}