Pith Number

pith:VAXQFAKD

pith:2013:VAXQFAKDG5ULDSPF56HZSVKCW7

not attested not anchored not stored refs pending

The Approximate Capacity Region of the Gaussian Y-Channel

Anas Chaaban, Aydin Sezgin

arxiv:1310.1732 v1 · 2013-10-07 · 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{VAXQFAKDG5ULDSPF56HZSVKCW7}

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	2026-05-18T03:11:10.789707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82f0281433768b1c9e5ef8f995542b7c1de5439207b1d4a28dbbddf22e9d467

Aliases

arxiv: 1310.1732 · arxiv_version: 1310.1732v1 · doi: 10.48550/arxiv.1310.1732 · pith_short_12: VAXQFAKDG5UL · pith_short_16: VAXQFAKDG5ULDSPF · pith_short_8: VAXQFAKD

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/VAXQFAKDG5ULDSPF56HZSVKCW7 \
  | 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: a82f0281433768b1c9e5ef8f995542b7c1de5439207b1d4a28dbbddf22e9d467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57eba635b5dd865662077846b1b5f1766a8fe60461dbe77d160706045ca226c2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-10-07T11:06:54Z",
    "title_canon_sha256": "9a51138c18f8441023661a4769283acf5891ee83c97425548e4816ceae848cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1732",
    "kind": "arxiv",
    "version": 1
  }
}