Pith Number

pith:A3TOYEYK

pith:2016:A3TOYEYKMGQ6KUA2CI2KXXKWVA

not attested not anchored not stored refs pending

Mean-Field-Type Games in Engineering

Alain Tcheukam, Boualem Djehiche, Hamidou Tembine

arxiv:1605.03281 v3 · 2016-05-11 · math.OC · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3TOYEYKMGQ6KUA2CI2KXXKWVA}

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	2026-05-18T00:29:21.283467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e6ec130a61a1e5501a1234abdd56a805844f6ba6c3a537024a51425d0c37d9

Aliases

arxiv: 1605.03281 · arxiv_version: 1605.03281v3 · doi: 10.48550/arxiv.1605.03281 · pith_short_12: A3TOYEYKMGQ6 · pith_short_16: A3TOYEYKMGQ6KUA2 · pith_short_8: A3TOYEYK

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/A3TOYEYKMGQ6KUA2CI2KXXKWVA \
  | 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: 06e6ec130a61a1e5501a1234abdd56a805844f6ba6c3a537024a51425d0c37d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed53698a3b038e7a5468a03a6e2c77acfadf3bb37f9ef37214b0f05493bdb00",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-11T04:54:07Z",
    "title_canon_sha256": "fe484e816c94c16b53c587825dcfb60cd8f93e1be115429be981c0dd5bdd5b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03281",
    "kind": "arxiv",
    "version": 3
  }
}