Pith Number

pith:Q67ERLYM

pith:2006:Q67ERLYM772V64W5SFTQXPALJ4

not attested not anchored not stored refs pending

An outer bound to the capacity region of the broadcast channel

Abbas El Gamal, Chandra Nair

arxiv:cs/0605105 v2 · 2006-05-24 · 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{Q67ERLYM772V64W5SFTQXPALJ4}

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	2026-07-04T15:02:52.365481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87be48af0cfff55f72dd91670bbc0b4f2a5da6da7c62b93134c2479ea76220e7

Aliases

arxiv: cs/0605105 · arxiv_version: cs/0605105v2 · doi: 10.48550/arxiv.cs/0605105 · pith_short_12: Q67ERLYM772V · pith_short_16: Q67ERLYM772V64W5 · pith_short_8: Q67ERLYM

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/Q67ERLYM772V64W5SFTQXPALJ4 \
  | 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: 87be48af0cfff55f72dd91670bbc0b4f2a5da6da7c62b93134c2479ea76220e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747445cdaa6b20f4e91addb470c4dbb882ce1a7dc4618e41905a3152952ff362",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2006-05-24T14:40:45Z",
    "title_canon_sha256": "4e56d0e57bb02b251856d36ecd874d5c02724a3694855fcce715664af3d96e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0605105",
    "kind": "arxiv",
    "version": 2
  }
}