Pith Number

pith:IMNUGOYD

pith:2013:IMNUGOYDKC4BHG4FIGZLYAUCDZ

not attested not anchored not stored refs pending

Stochastic Perron's method and elementary strategies for zero-sum differential games

Mihai S\^irbu

arxiv:1305.5083 v5 · 2013-05-22 · 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{IMNUGOYDKC4BHG4FIGZLYAUCDZ}

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	2026-05-18T02:58:43.249636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431b433b0350b8139b8541b2bc02821e5c5bfbb08b5f9c6c26734d41ee4f1219

Aliases

arxiv: 1305.5083 · arxiv_version: 1305.5083v5 · doi: 10.48550/arxiv.1305.5083 · pith_short_12: IMNUGOYDKC4B · pith_short_16: IMNUGOYDKC4BHG4F · pith_short_8: IMNUGOYD

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/IMNUGOYDKC4BHG4FIGZLYAUCDZ \
  | 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: 431b433b0350b8139b8541b2bc02821e5c5bfbb08b5f9c6c26734d41ee4f1219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de6ebfd10bffca32aa141bb632dc649d61608e32826a1ebc53f87b7ca3d3489",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-22T11:06:19Z",
    "title_canon_sha256": "1ddc252f13650b74464e5af7f35870953a6f15af2d61b46352c7d927f303ecb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5083",
    "kind": "arxiv",
    "version": 5
  }
}