Pith Number

pith:6A26X3EW

pith:2013:6A26X3EWNNCJGFJGEMPAI5LWO5

not attested not anchored not stored refs pending

The Third-Order Term in the Normal Approximation for the AWGN Channel

Marco Tomamichel, Vincent Y. F. Tan

arxiv:1311.2337 v2 · 2013-11-11 · 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{6A26X3EWNNCJGFJGEMPAI5LWO5}

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	2026-05-18T02:18:31.738478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f035ebec966b44931526231e047576775bcd442aa5e5774f6603132129e4bce8

Aliases

arxiv: 1311.2337 · arxiv_version: 1311.2337v2 · doi: 10.48550/arxiv.1311.2337 · pith_short_12: 6A26X3EWNNCJ · pith_short_16: 6A26X3EWNNCJGFJG · pith_short_8: 6A26X3EW

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/6A26X3EWNNCJGFJGEMPAI5LWO5 \
  | 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: f035ebec966b44931526231e047576775bcd442aa5e5774f6603132129e4bce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faef5ad78139affd389fa1562fc5566d07522bd6577f8176f68a136ebff951b1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-11T02:46:28Z",
    "title_canon_sha256": "7a0b2d6ee8153dab05600831e730b5f9fea6057e45ea4b136baf400c9c079acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2337",
    "kind": "arxiv",
    "version": 2
  }
}