Pith Number

pith:TAOMUDRT

pith:2016:TAOMUDRTHRTOVUTILCGX32ROFG

not attested not anchored not stored refs pending

A rank based mean field game in the strong formulation

Erhan Bayraktar, Yuchong Zhang

arxiv:1603.06312 v3 · 2016-03-21 · math.PR · math.OC · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAOMUDRTHRTOVUTILCGX32ROFG}

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	2026-05-18T01:02:12.995535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981cca0e333c66ead268588d7dea2e29a2003f34850beeb943a9da33286e2a28

Aliases

arxiv: 1603.06312 · arxiv_version: 1603.06312v3 · doi: 10.48550/arxiv.1603.06312 · pith_short_12: TAOMUDRTHRTO · pith_short_16: TAOMUDRTHRTOVUTI · pith_short_8: TAOMUDRT

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/TAOMUDRTHRTOVUTILCGX32ROFG \
  | 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: 981cca0e333c66ead268588d7dea2e29a2003f34850beeb943a9da33286e2a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca676a91fd063c94f427fb681a37ab76e58e227fca5148d988934a335b1cc27",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-21T02:26:10Z",
    "title_canon_sha256": "2a9432dedc0db7a5d7f819f1f05d00bbd5783a1f4bd50a5836db0e972a49d499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06312",
    "kind": "arxiv",
    "version": 3
  }
}