Pith Number

pith:G2RK5BJE

pith:2017:G2RK5BJERIDCPT5P5QX7AIE3L4

not attested not anchored not stored refs pending

On non-uniqueness and uniqueness of solutions in finite-horizon mean field games

Markus Fischer, Martino Bardi

arxiv:1707.00628 v2 · 2017-07-03 · math.AP · 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{G2RK5BJERIDCPT5P5QX7AIE3L4}

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	2026-05-18T00:23:58.989111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a2ae85248a0627cfafec2ff0209b5f25eacb27bed22ba71128b0f1e5766b0b

Aliases

arxiv: 1707.00628 · arxiv_version: 1707.00628v2 · doi: 10.48550/arxiv.1707.00628 · pith_short_12: G2RK5BJERIDC · pith_short_16: G2RK5BJERIDCPT5P · pith_short_8: G2RK5BJE

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/G2RK5BJERIDCPT5P5QX7AIE3L4 \
  | 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: 36a2ae85248a0627cfafec2ff0209b5f25eacb27bed22ba71128b0f1e5766b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984b5cbbf08558608cbab1b2150cce788ab459ed6649ef6ed90573853ad610db",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-03T16:16:27Z",
    "title_canon_sha256": "9eed47b1b6a46d2fd14dc6583bb7e62cc8bdbdea8bde476b45f2a4da9c82ff62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00628",
    "kind": "arxiv",
    "version": 2
  }
}