Pith Number

pith:44A77PGK

pith:2026:44A77PGKNMPM6SBLDHJLEFNTSF

not attested not anchored not stored refs pending

Multi-type random game dynamics: limits at discontinuities and cyclic limits

Kousik Das, Raghupati Vyas, Souvik Roy, Veeraruna Kavitha

arxiv:2602.13032 v2 · 2026-02-13 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44A77PGKNMPM6SBLDHJLEFNTSF}

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	2026-06-02T03:05:04.935602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e701ffbcca6b1ecf482b19d2b215b3914c1db509d689c904550c5451c4641615

Aliases

arxiv: 2602.13032 · arxiv_version: 2602.13032v2 · doi: 10.48550/arxiv.2602.13032 · pith_short_12: 44A77PGKNMPM · pith_short_16: 44A77PGKNMPM6SBL · pith_short_8: 44A77PGK

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/44A77PGKNMPM6SBLDHJLEFNTSF \
  | 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: e701ffbcca6b1ecf482b19d2b215b3914c1db509d689c904550c5451c4641615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f0c239829631a2877e8afcb5cd3d4fcef5054b63f3950b95581147d8adf36c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-02-13T15:38:35Z",
    "title_canon_sha256": "af9ee31e54cdc08f67a234378ace0cbe4dfefb41896c14b499b919ec3e24a63b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.13032",
    "kind": "arxiv",
    "version": 2
  }
}