Pith Number

pith:PMG6FNZP

pith:2013:PMG6FNZP7X2VFYRQWDYNMS7VU4

not attested not anchored not stored refs pending

Distributed Energy Trading: The Multiple-Microgrid Case

David Gregoratti, Javier Matamoros

arxiv:1307.7622 v5 · 2013-07-29 · math.OC · cs.MA

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMG6FNZP7X2VFYRQWDYNMS7VU4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:19:06.302035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b0de2b72ffdf552e230b0f0d64bf5a7299879c5df288dbc223739df971c5811

Aliases

arxiv: 1307.7622 · arxiv_version: 1307.7622v5 · doi: 10.48550/arxiv.1307.7622 · pith_short_12: PMG6FNZP7X2V · pith_short_16: PMG6FNZP7X2VFYRQ · pith_short_8: PMG6FNZP

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/PMG6FNZP7X2VFYRQWDYNMS7VU4 \
  | 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: 7b0de2b72ffdf552e230b0f0d64bf5a7299879c5df288dbc223739df971c5811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5303134b75214f1f4f4853fc5355f3ab3db921e83e4a85e24a2411db9223f1e",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-29T15:46:23Z",
    "title_canon_sha256": "37ccc035b245a55d71b42a51bb27654f52960ba49e9084e020a545e068c8ebef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7622",
    "kind": "arxiv",
    "version": 5
  }
}