Pith Number

pith:T3OPVXJO

pith:2015:T3OPVXJO3X2UHQGYZ2DS2U2J6V

not attested not anchored not stored refs pending

Two numerical approaches to stationary mean-field games

Diogo Gomes, Noha Almulla, Rita Ferreira

arxiv:1511.06576 v1 · 2015-11-20 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3OPVXJO3X2UHQGYZ2DS2U2J6V}

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	2026-05-18T01:26:24.248632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9edcfadd2eddf543c0d8ce872d5349f55060a921d816e1593cde83b0226db7fb

Aliases

arxiv: 1511.06576 · arxiv_version: 1511.06576v1 · doi: 10.48550/arxiv.1511.06576 · pith_short_12: T3OPVXJO3X2U · pith_short_16: T3OPVXJO3X2UHQGY · pith_short_8: T3OPVXJO

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/T3OPVXJO3X2UHQGYZ2DS2U2J6V \
  | 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: 9edcfadd2eddf543c0d8ce872d5349f55060a921d816e1593cde83b0226db7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ac80e9f9324cad676c607f0ce0f739f29011e97caa8608fed92d5c71468618",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-20T12:55:32Z",
    "title_canon_sha256": "8fd6984a09d9128674afc9b3b9de61532e81a3b7479fecb01e48cce13080c3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06576",
    "kind": "arxiv",
    "version": 1
  }
}