Pith Number

pith:M5EGRQKS

pith:2026:M5EGRQKS7BE3CLK5JMP427IZFB

not attested not anchored not stored refs pending

A Note on Learnable Nash Equilibrium

Songzi Du

arxiv:2606.22701 v1 · 2026-06-21 · cs.GT · 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{M5EGRQKS7BE3CLK5JMP427IZFB}

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	2026-06-23T02:13:45.207381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674868c152f849b12d5d4b1fcd7d19286ee95dc912574ccea1b0558b70aef4a6

Aliases

arxiv: 2606.22701 · arxiv_version: 2606.22701v1 · doi: 10.48550/arxiv.2606.22701 · pith_short_12: M5EGRQKS7BE3 · pith_short_16: M5EGRQKS7BE3CLK5 · pith_short_8: M5EGRQKS

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/M5EGRQKS7BE3CLK5JMP427IZFB \
  | 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: 674868c152f849b12d5d4b1fcd7d19286ee95dc912574ccea1b0558b70aef4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "960208924c4258702c25bffd5415ad177db98cd3cfb1f63a24de08ba7f1e1db0",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-21T22:36:07Z",
    "title_canon_sha256": "854bdfd3199445f66c4c91548b80dd0acfc94d4c302d45559e20fdca7996e106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22701",
    "kind": "arxiv",
    "version": 1
  }
}