Pith Number

pith:5SAJS34I

pith:2016:5SAJS34IGFNYDG6XBFHMBDETMK

not attested not anchored not stored refs pending

Bounds on the Communication Rate Needed to Achieve SK Capacity in the Hypergraphical Source Model

Chung Chan, Manuj Mukherjee, Navin Kashyap, Qiaoqiao Zhou

arxiv:1601.05377 v2 · 2016-01-20 · 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{5SAJS34IGFNYDG6XBFHMBDETMK}

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	2026-05-18T00:58:57.360003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec80996f88315b819bd7094ec08c9362812772437e31fd573cd61f488494b166

Aliases

arxiv: 1601.05377 · arxiv_version: 1601.05377v2 · doi: 10.48550/arxiv.1601.05377 · pith_short_12: 5SAJS34IGFNY · pith_short_16: 5SAJS34IGFNYDG6X · pith_short_8: 5SAJS34I

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/5SAJS34IGFNYDG6XBFHMBDETMK \
  | 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: ec80996f88315b819bd7094ec08c9362812772437e31fd573cd61f488494b166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f0f2822a7c348f13d4e0a261bc6fc73bd1b1b2b3cd8aac680ff6a113a5cc1e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-20T19:22:21Z",
    "title_canon_sha256": "fe6f72f1bed3f998582d1c755c6c331de6dc531edb53a64d59db1e11ccaf4077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05377",
    "kind": "arxiv",
    "version": 2
  }
}