Pith Number

pith:2MY5AF57

pith:2023:2MY5AF57DENLURSH2QOGPGMDAM

not attested not anchored not stored refs pending

A new proof for the existence of Nash equilibrium

Davide Carpentiere, Stephen Watson

arxiv:2310.01528 v1 · 2023-10-02 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MY5AF57DENLURSH2QOGPGMDAM}

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	2026-07-05T06:56:41.434520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d331d017bf191aba4647d41c67998303302d44d6018cc3f5d3b52d5b5d911729

Aliases

arxiv: 2310.01528 · arxiv_version: 2310.01528v1 · doi: 10.48550/arxiv.2310.01528 · pith_short_12: 2MY5AF57DENL · pith_short_16: 2MY5AF57DENLURSH · pith_short_8: 2MY5AF57

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/2MY5AF57DENLURSH2QOGPGMDAM \
  | 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: d331d017bf191aba4647d41c67998303302d44d6018cc3f5d3b52d5b5d911729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1147011592117de03c96e4491ef228ec17a0ab555be39f2f17700d6f3c26447",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2023-10-02T18:16:31Z",
    "title_canon_sha256": "f2d28f90bd5dae3140d81fca408dee2fbb97a239238e9426a9dd4f7d4c50a038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.01528",
    "kind": "arxiv",
    "version": 1
  }
}