Pith Number

pith:4RR5IAPV

pith:2016:4RR5IAPVKNUK5QK6RIILGUSG5U

not attested not anchored not stored refs pending

Price of anarchy in electric vehicle charging control games: When Nash equilibria achieve social welfare

Kostas Margellos, Luca Deori, Maria Prandini

arxiv:1612.01342 v2 · 2016-12-05 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RR5IAPVKNUK5QK6RIILGUSG5U}

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	2026-05-18T00:03:00.488768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e463d401f55368aec15e8a10b35246ed1d550764047dc03b56ecd3c3e896453d

Aliases

arxiv: 1612.01342 · arxiv_version: 1612.01342v2 · doi: 10.48550/arxiv.1612.01342 · pith_short_12: 4RR5IAPVKNUK · pith_short_16: 4RR5IAPVKNUK5QK6 · pith_short_8: 4RR5IAPV

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/4RR5IAPVKNUK5QK6RIILGUSG5U \
  | 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: e463d401f55368aec15e8a10b35246ed1d550764047dc03b56ecd3c3e896453d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ce8dc2a47ef55cb77d5ea70ebec564e941d5e24e6961541f55b0eb94f8301f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-05T13:28:46Z",
    "title_canon_sha256": "8dce075d15d04bf458b1f10c83d31916f75041aa44a9e61b38594ca1e35f38ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01342",
    "kind": "arxiv",
    "version": 2
  }
}