Pith Number

pith:3RAW64U3

pith:2015:3RAW64U3X6ATC3GSHWSR4MLGTJ

not attested not anchored not stored refs pending

Tight Approximations for the Two Dimensional Gaussian $Q-$function

Paschalis C. Sofotasios, Steven Freear

arxiv:1505.04005 v1 · 2015-05-15 · 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{3RAW64U3X6ATC3GSHWSR4MLGTJ}

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	2026-05-18T02:09:40.432215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc416f729bbf81316cd23da51e31669a79453a92509076fdd6301e4cb2f605fa

Aliases

arxiv: 1505.04005 · arxiv_version: 1505.04005v1 · doi: 10.48550/arxiv.1505.04005 · pith_short_12: 3RAW64U3X6AT · pith_short_16: 3RAW64U3X6ATC3GS · pith_short_8: 3RAW64U3

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/3RAW64U3X6ATC3GSHWSR4MLGTJ \
  | 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: dc416f729bbf81316cd23da51e31669a79453a92509076fdd6301e4cb2f605fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ea1f6bff03d1d50f3eae776e3f579647167a676af696d9dc19349aaed9d843",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-15T09:55:51Z",
    "title_canon_sha256": "e905da9bda57cb3f0afa6427e5e7b28c60849b622ba7249c8c3dbdaa648ae384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04005",
    "kind": "arxiv",
    "version": 1
  }
}