Pith Number

pith:GEFFD55S

pith:2026:GEFFD55SWMH3TTDKKLOOLYECEO

not attested not anchored not stored refs pending

Risk-Sensitive Learning in Population Games under Extreme Events: Bifurcations and Chaotic Dynamics

Konstantinos Metaxas, Themistoklis P. Sapsis

arxiv:2606.29967 v1 · 2026-06-29 · nlin.CD · 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{GEFFD55SWMH3TTDKKLOOLYECEO}

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	2026-06-30T02:17:43.117810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

310a51f7b2b30fb9cc6a52dce5e08223bcb0ab6609d9bcd147cd105221cfd695

Aliases

arxiv: 2606.29967 · arxiv_version: 2606.29967v1 · doi: 10.48550/arxiv.2606.29967 · pith_short_12: GEFFD55SWMH3 · pith_short_16: GEFFD55SWMH3TTDK · pith_short_8: GEFFD55S

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/GEFFD55SWMH3TTDKKLOOLYECEO \
  | 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: 310a51f7b2b30fb9cc6a52dce5e08223bcb0ab6609d9bcd147cd105221cfd695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c2ac4502607d72624ff05833d2399b028670dbd89e2a9a3b23bc834493e4f9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2026-06-29T08:44:21Z",
    "title_canon_sha256": "9a096fcbac913101199cf36dc369ad442628067d3f919e247773b58b35c168b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29967",
    "kind": "arxiv",
    "version": 1
  }
}