Pith Number

pith:R25DLHH5

pith:2013:R25DLHH5VDPHE6O2AG2NWC2RYB

not attested not anchored not stored refs pending

On the Coexistence of a Primary User with an Energy Harvesting Secondary User: A Case of Cognitive Cooperation

Ahmed El Shafie, Amr El-Keyi, Mohamed Nafie, Tamer Khattab

arxiv:1307.4744 v4 · 2013-07-06 · cs.IT · cs.NI · 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{R25DLHH5VDPHE6O2AG2NWC2RYB}

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	2026-05-18T02:46:31.331080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eba359cfda8de7279da01b4db0b51c054107ee4b1d14693558d5d16f4c265c9

Aliases

arxiv: 1307.4744 · arxiv_version: 1307.4744v4 · doi: 10.48550/arxiv.1307.4744 · pith_short_12: R25DLHH5VDPH · pith_short_16: R25DLHH5VDPHE6O2 · pith_short_8: R25DLHH5

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/R25DLHH5VDPHE6O2AG2NWC2RYB \
  | 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: 8eba359cfda8de7279da01b4db0b51c054107ee4b1d14693558d5d16f4c265c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee01f44c09075e76c84f44a0b357ef54d25234667480ca9f2ea8a7a07b44b2a",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-06T16:54:06Z",
    "title_canon_sha256": "bc7d558ac1db125f8f9f64a8ee4998d5316e4435524dbf4aa0106cb4f035ff24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4744",
    "kind": "arxiv",
    "version": 4
  }
}