Pith Number

pith:MRK5H3YP

pith:2016:MRK5H3YPKSK3235NY6QOSMNVRY

not attested not anchored not stored refs pending

Stable solutions in potential mean field game systems

Ariela Briani (LMPT, FRDP), Pierre Cardaliaguet (CEREMADE)

arxiv:1612.01877 v1 · 2016-12-06 · 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{MRK5H3YPKSK3235NY6QOSMNVRY}

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	2026-05-18T00:55:47.468819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6455d3ef0f5495bd6fadc7a0e931b58e26938f00107cdbccac5031e10e814838

Aliases

arxiv: 1612.01877 · arxiv_version: 1612.01877v1 · doi: 10.48550/arxiv.1612.01877 · pith_short_12: MRK5H3YPKSK3 · pith_short_16: MRK5H3YPKSK3235N · pith_short_8: MRK5H3YP

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/MRK5H3YPKSK3235NY6QOSMNVRY \
  | 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: 6455d3ef0f5495bd6fadc7a0e931b58e26938f00107cdbccac5031e10e814838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b674664d24d13b059ffa3183196e0202fd475dc80969fe4c2329120b99af81f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-06T15:48:41Z",
    "title_canon_sha256": "88c3edab4b9abfd25fea0bd4f2e53fe74f988937a2c52b89ce7bee0dd73c1b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01877",
    "kind": "arxiv",
    "version": 1
  }
}