Pith Number

pith:OE3AOMLG

pith:2013:OE3AOMLGQYTFPO53V6HVGNYIS3

not attested not anchored not stored refs pending

On Solutions to Cournot-Nash Equilibria Equations on the Sphere

Micah Warren

arxiv:1303.7196 v1 · 2013-03-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OE3AOMLGQYTFPO53V6HVGNYIS3}

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	2026-05-18T01:22:25.522290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7136073166862657bbbbaf8f53370896f267ea66f71e419a297522ba5b7b18ec

Aliases

arxiv: 1303.7196 · arxiv_version: 1303.7196v1 · doi: 10.48550/arxiv.1303.7196 · pith_short_12: OE3AOMLGQYTF · pith_short_16: OE3AOMLGQYTFPO53 · pith_short_8: OE3AOMLG

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/OE3AOMLGQYTFPO53V6HVGNYIS3 \
  | 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: 7136073166862657bbbbaf8f53370896f267ea66f71e419a297522ba5b7b18ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bc2609bc7179c8779186b171528da348624945a52e36786ea673b97f72c7ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-28T18:21:48Z",
    "title_canon_sha256": "6d6fec1d23dbb0bf2ee4812716fdb19025845b821d1e143c358fa38beeb55a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7196",
    "kind": "arxiv",
    "version": 1
  }
}