Pith Number

pith:PHCIKI2O

pith:2017:PHCIKI2OIRMWE6YD63R2NVAB36

not attested not anchored not stored refs pending

Time-dependent focusing Mean-Field Games: the sub-critical case

Daniela Tonon, Marco Cirant

arxiv:1704.04014 v1 · 2017-04-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHCIKI2OIRMWE6YD63R2NVAB36}

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	2026-05-18T00:46:25.612669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c485234e4459627b03f6e3a6d401df8ef61a9ef0cfe663e7c282e0f92ad21f

Aliases

arxiv: 1704.04014 · arxiv_version: 1704.04014v1 · doi: 10.48550/arxiv.1704.04014 · pith_short_12: PHCIKI2OIRMW · pith_short_16: PHCIKI2OIRMWE6YD · pith_short_8: PHCIKI2O

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/PHCIKI2OIRMWE6YD63R2NVAB36 \
  | 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: 79c485234e4459627b03f6e3a6d401df8ef61a9ef0cfe663e7c282e0f92ad21f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116f43accae6ef97c2e6f3bb19b1c30d4e28fa22a2d71ce81f1aebf4ea1c9377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-13T07:14:37Z",
    "title_canon_sha256": "9fa9896b176834af1b922a9d861b967fab6a52a9bce50170225d4f1b04c74e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04014",
    "kind": "arxiv",
    "version": 1
  }
}