Pith Number

pith:ATUPYLTT

pith:2011:ATUPYLTTKZILZUVXDL7BRXSPO3

not attested not anchored not stored refs pending

Alternative Awaiting and Broadcast for Two-Way Relay Fading Channels

Jianquan Liu, Meixia Tao, Youyun Xu

arxiv:1109.1949 v2 · 2011-09-09 · 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{ATUPYLTTKZILZUVXDL7BRXSPO3}

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	2026-05-18T04:02:52.575530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e8fc2e735650bcd2b71afe18de4f76e6f4c79464d93ed99a90fe19b9bbb29b

Aliases

arxiv: 1109.1949 · arxiv_version: 1109.1949v2 · doi: 10.48550/arxiv.1109.1949 · pith_short_12: ATUPYLTTKZIL · pith_short_16: ATUPYLTTKZILZUVX · pith_short_8: ATUPYLTT

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/ATUPYLTTKZILZUVXDL7BRXSPO3 \
  | 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: 04e8fc2e735650bcd2b71afe18de4f76e6f4c79464d93ed99a90fe19b9bbb29b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a22856dcfd4dc811e02931937ada810e205fc9f4d54ae885e0b856a6592e61",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-09T09:34:23Z",
    "title_canon_sha256": "b971f07c0e497e843ce7dddf30cc650e46c73aa5a49d82cf7466938228440571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1949",
    "kind": "arxiv",
    "version": 2
  }
}