Pith Number

pith:GNGUP7XG

pith:2026:GNGUP7XGXHHO7RXXTOENIBUU42

not attested not anchored not stored refs pending

State-Robust Nash Predictions In Population Games

Junfei Guo, Rui Sun

arxiv:2605.26516 v1 · 2026-05-26 · 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{GNGUP7XGXHHO7RXXTOENIBUU42}

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	2026-05-27T01:05:24.037423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

334d47fee6b9ceefc6f79b88d40694e68fb58b14a6ba9f899e77226bc8f81437

Aliases

arxiv: 2605.26516 · arxiv_version: 2605.26516v1 · doi: 10.48550/arxiv.2605.26516 · pith_short_12: GNGUP7XGXHHO · pith_short_16: GNGUP7XGXHHO7RXX · pith_short_8: GNGUP7XG

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/GNGUP7XGXHHO7RXXTOENIBUU42 \
  | 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: 334d47fee6b9ceefc6f79b88d40694e68fb58b14a6ba9f899e77226bc8f81437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299fd25059ecbbdb0307c33ff41c8f108d7891d89359d956142dcdf05c2b1081",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-05-26T03:57:59Z",
    "title_canon_sha256": "1672b5c9ac4cf4ff8be39882bb88f811b08bb6b1f1f98371a66c52b8ec4266d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26516",
    "kind": "arxiv",
    "version": 1
  }
}