Pith Number

pith:KLJXBOLZ

pith:2016:KLJXBOLZADHYKY2TQJLYVEO2G4

not attested not anchored not stored refs pending

$N$-player games and mean field games with absorption

Luciano Campi, Markus Fischer

arxiv:1612.03816 v2 · 2016-12-12 · 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{KLJXBOLZADHYKY2TQJLYVEO2G4}

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	2026-05-18T00:34:15.584475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d370b97900cf85635382578a91da37085d9865b3463d113d444d580c0c3c9a

Aliases

arxiv: 1612.03816 · arxiv_version: 1612.03816v2 · doi: 10.48550/arxiv.1612.03816 · pith_short_12: KLJXBOLZADHY · pith_short_16: KLJXBOLZADHYKY2T · pith_short_8: KLJXBOLZ

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/KLJXBOLZADHYKY2TQJLYVEO2G4 \
  | 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: 52d370b97900cf85635382578a91da37085d9865b3463d113d444d580c0c3c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9465984e8dbeae63ea9200a586f1e6a14ccb61ab614eb218f5f5f6ef66f6a9c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-12T17:53:04Z",
    "title_canon_sha256": "e1ff161ab647cc114e085cce4d54899d0f6b6f519f0767495772b302af813cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03816",
    "kind": "arxiv",
    "version": 2
  }
}