Pith Number

pith:TFK3CQC6

pith:2019:TFK3CQC6PLJHVPPWZ4FJV4Y53Q

not attested not anchored not stored refs pending

On the asymptotic nature of first order mean field games

Francisco J. Silva, Markus Fischer

arxiv:1903.03602 v1 · 2019-03-08 · 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{TFK3CQC6PLJHVPPWZ4FJV4Y53Q}

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	2026-05-17T23:51:45.057524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9955b1405e7ad27abdf6cf0a9af31ddc24eda08408c4e4c7f94956bf462dcb98

Aliases

arxiv: 1903.03602 · arxiv_version: 1903.03602v1 · doi: 10.48550/arxiv.1903.03602 · pith_short_12: TFK3CQC6PLJH · pith_short_16: TFK3CQC6PLJHVPPW · pith_short_8: TFK3CQC6

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/TFK3CQC6PLJHVPPWZ4FJV4Y53Q \
  | 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: 9955b1405e7ad27abdf6cf0a9af31ddc24eda08408c4e4c7f94956bf462dcb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9f4a8a2142520fa88d819232da53bd7a5a0ed652cea0b1030acd0fb2235879",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-03-08T18:42:13Z",
    "title_canon_sha256": "d39a635638d1fabf8a8b1b49224177f4f33a826847b753b17dfb57f8904bb073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03602",
    "kind": "arxiv",
    "version": 1
  }
}