Pith Number

pith:5PQ3RYSO

pith:2015:5PQ3RYSOUDYEF3YQNAE2XALZRN

not attested not anchored not stored refs pending

Optimal Energy and Data Routing in Networks with Energy Cooperation

Berk Gurakan, Omur Ozel, Sennur Ulukus

arxiv:1509.05395 v1 · 2015-09-17 · 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{5PQ3RYSOUDYEF3YQNAE2XALZRN}

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	2026-05-18T00:58:34.937142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe1b8e24ea0f042ef106809ab81798b7848ec2b876c4c16338f42d5a8592d64

Aliases

arxiv: 1509.05395 · arxiv_version: 1509.05395v1 · doi: 10.48550/arxiv.1509.05395 · pith_short_12: 5PQ3RYSOUDYE · pith_short_16: 5PQ3RYSOUDYEF3YQ · pith_short_8: 5PQ3RYSO

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/5PQ3RYSOUDYEF3YQNAE2XALZRN \
  | 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: ebe1b8e24ea0f042ef106809ab81798b7848ec2b876c4c16338f42d5a8592d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6acec6fefba535cef376d7a0961968cb45fb8c37cf8974481e456d9397c61f4",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-17T19:50:57Z",
    "title_canon_sha256": "c5bb3618264b142e6c6a3f9aa45d3eb192eb399cca51fa3b00ce393be63d93b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05395",
    "kind": "arxiv",
    "version": 1
  }
}