Pith Number

pith:CSGEJNI7

pith:2021:CSGEJNI7JFULSTG7B45OFNKAZF

not attested not anchored not stored refs pending

Robust Pairwise n-Person Stochastic Duel Game

Song-Kyoo Kim

arxiv:2103.02803 v2 · 2021-03-04 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSGEJNI7JFULSTG7B45OFNKAZF}

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	2026-07-05T02:30:43.794574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

148c44b51f4968b94cdf0f3ae2b540c940cd716f4c6b1efff8fcf938c5de8ae7

Aliases

arxiv: 2103.02803 · arxiv_version: 2103.02803v2 · doi: 10.48550/arxiv.2103.02803 · pith_short_12: CSGEJNI7JFUL · pith_short_16: CSGEJNI7JFULSTG7 · pith_short_8: CSGEJNI7

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/CSGEJNI7JFULSTG7B45OFNKAZF \
  | 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: 148c44b51f4968b94cdf0f3ae2b540c940cd716f4c6b1efff8fcf938c5de8ae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6e0a0420521df700b781be3a80d5fa3c5e03b005ff1a11b3c17631fca6ba84a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-03-04T02:54:11Z",
    "title_canon_sha256": "5f9a7425922ed28d22bdfa03394a67b1e3b93f811b974d787556bb277b6cb6ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02803",
    "kind": "arxiv",
    "version": 2
  }
}