Pith Number

pith:BG4AB6VQ

pith:2009:BG4AB6VQIGPFKCQUSUHXXUZELD

not attested not anchored not stored refs pending

Introducing Hierarchy in Energy Games

M. Debbah, R. El Azouzi, S. Lasaulce, Y. Hayel

arxiv:0903.2966 v1 · 2009-03-17 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG4AB6VQIGPFKCQUSUHXXUZELD}

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	2026-05-18T00:58:48.192957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b800fab0419e550a14950f7bd32458f80ebb3836d4738c76a323d68f6838e6

Aliases

arxiv: 0903.2966 · arxiv_version: 0903.2966v1 · doi: 10.48550/arxiv.0903.2966 · pith_short_12: BG4AB6VQIGPF · pith_short_16: BG4AB6VQIGPFKCQU · pith_short_8: BG4AB6VQ

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/BG4AB6VQIGPFKCQUSUHXXUZELD \
  | 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: 09b800fab0419e550a14950f7bd32458f80ebb3836d4738c76a323d68f6838e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067cf4bd1d2da1cbdd9e5edab0fa4adf0c92f0efbc23fe2f1177f4b88821bdbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2009-03-17T13:53:23Z",
    "title_canon_sha256": "53e8e8d89b4bc80dfaad26081f44a1bb0117ba74879a18fbc8775bf77925e7d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2966",
    "kind": "arxiv",
    "version": 1
  }
}