Pith Number

pith:VM2HJTBC

pith:2011:VM2HJTBCU4TSHWXIYHARX2VW4H

not attested not anchored not stored refs pending

The Degrees of Freedom of Compute-and-Forward

Phil Whiting, Urs Niesen

arxiv:1101.2182 v2 · 2011-01-11 · 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{VM2HJTBCU4TSHWXIYHARX2VW4H}

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	2026-05-18T02:22:58.667457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3474cc22a72723dae8c1c11beab6e1c4b95f09a50b6fd5fd8f60bf2c3b39f8

Aliases

arxiv: 1101.2182 · arxiv_version: 1101.2182v2 · doi: 10.48550/arxiv.1101.2182 · pith_short_12: VM2HJTBCU4TS · pith_short_16: VM2HJTBCU4TSHWXI · pith_short_8: VM2HJTBC

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/VM2HJTBCU4TSHWXIYHARX2VW4H \
  | 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: ab3474cc22a72723dae8c1c11beab6e1c4b95f09a50b6fd5fd8f60bf2c3b39f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c68af92fc9e2881147e9ecfdc32d7c78141e8d8241612199f22ae6f300f1085",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-11T19:20:35Z",
    "title_canon_sha256": "b5f051f9f8f579895d6d3859b734029af0db9ccff4a2e17b0affbca3a155ddb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2182",
    "kind": "arxiv",
    "version": 2
  }
}