Pith Number

pith:VC3HZ37T

pith:2013:VC3HZ37TICQAYBKSSBEZWRF4OJ

not attested not anchored not stored refs pending

Expurgated Random-Coding Ensembles: Exponents, Refinements and Connections

Albert Guill\'en i F\`abregas, Alfonso Martinez, Jonathan Scarlett, Li Peng, Neri Merhav

arxiv:1307.6679 v3 · 2013-07-25 · 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{VC3HZ37TICQAYBKSSBEZWRF4OJ}

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	2026-05-18T00:58:17.014069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b67ceff340a00c055290499b44bc725c50e5d7ed1b90b22769a34f1dc0a6e3

Aliases

arxiv: 1307.6679 · arxiv_version: 1307.6679v3 · doi: 10.48550/arxiv.1307.6679 · pith_short_12: VC3HZ37TICQA · pith_short_16: VC3HZ37TICQAYBKS · pith_short_8: VC3HZ37T

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/VC3HZ37TICQAYBKSSBEZWRF4OJ \
  | 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: a8b67ceff340a00c055290499b44bc725c50e5d7ed1b90b22769a34f1dc0a6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4556451e3dfe85bd0e382ca1458da76e1d33327291659ed167f09307a4a3dc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-25T09:44:44Z",
    "title_canon_sha256": "108f738e5bc2bed154758e74a6df88f0f03d852ef19566155f82dfa2141f91d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6679",
    "kind": "arxiv",
    "version": 3
  }
}