Pith Number

pith:PWE4NIQU

pith:2011:PWE4NIQUN6KFTIPVHGTMUOJIL2

not attested not anchored not stored refs pending

A note on outer bounds for broadcast channel

Chandra Nair

arxiv:1101.0640 v1 · 2011-01-04 · 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{PWE4NIQUN6KFTIPVHGTMUOJIL2}

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	2026-05-18T04:32:02.357485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d89c6a2146f9459a1f539a6ca39285ebacb5110843b723f50dc943a9ce1f01a

Aliases

arxiv: 1101.0640 · arxiv_version: 1101.0640v1 · doi: 10.48550/arxiv.1101.0640 · pith_short_12: PWE4NIQUN6KF · pith_short_16: PWE4NIQUN6KFTIPV · pith_short_8: PWE4NIQU

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/PWE4NIQUN6KFTIPVHGTMUOJIL2 \
  | 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: 7d89c6a2146f9459a1f539a6ca39285ebacb5110843b723f50dc943a9ce1f01a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7da7ff15ad6fd0ac6daa1cf8cd2b0d62edbed91dc3a6b2429bfcd963ff699f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-04T02:28:37Z",
    "title_canon_sha256": "b7f0aa6fcb6ec087640470f9e485f96dda6c509a489b964714ba85a245461a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0640",
    "kind": "arxiv",
    "version": 1
  }
}