Pith Number

pith:B5E3N6AR

pith:2013:B5E3N6AROYVOFG5CBQNFMSLHUL

not attested not anchored not stored refs pending

On the entropy of equilibrium measures and game-theoretic equilibrium feedback operators in multi-channel dynamical systems

Getachew K. Befekadu, Panos J. Antsaklis

arxiv:1312.7824 v4 · 2013-12-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5E3N6AROYVOFG5CBQNFMSLHUL}

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	2026-05-18T03:00:48.949798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f49b6f811762ae29ba20c1a564967a2cac1d17a608a09d4a458820e477b7347

Aliases

arxiv: 1312.7824 · arxiv_version: 1312.7824v4 · doi: 10.48550/arxiv.1312.7824 · pith_short_12: B5E3N6AROYVO · pith_short_16: B5E3N6AROYVOFG5C · pith_short_8: B5E3N6AR

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/B5E3N6AROYVOFG5CBQNFMSLHUL \
  | 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: 0f49b6f811762ae29ba20c1a564967a2cac1d17a608a09d4a458820e477b7347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79cbcbc0e30a09bbfed0d128b85572c928dcf617a5e5657922301f27be562ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-30T18:55:36Z",
    "title_canon_sha256": "b334266b23efa4e9ced6e717957ee3a7ff631bfd71e7ffdf060a0a21e0716b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7824",
    "kind": "arxiv",
    "version": 4
  }
}