Pith Number

pith:IILNK4K4

pith:2011:IILNK4K4SILLMYPHO22NLVHWRR

not attested not anchored not stored refs pending

Numerical approximation of Nash equilibria for a class of non-cooperative differential games

Emiliano Cristiani, Maurizio Falcone, Simone Cacace

arxiv:1109.3569 v1 · 2011-09-16 · math.NA · cs.SY · math.AP · 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{IILNK4K4SILLMYPHO22NLVHWRR}

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	2026-05-18T01:20:26.720826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4216d5715c9216b661e776b4d5d4f68c73c2a3b6503a8ffff6d910a4fb15629c

Aliases

arxiv: 1109.3569 · arxiv_version: 1109.3569v1 · doi: 10.48550/arxiv.1109.3569 · pith_short_12: IILNK4K4SILL · pith_short_16: IILNK4K4SILLMYPH · pith_short_8: IILNK4K4

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/IILNK4K4SILLMYPHO22NLVHWRR \
  | 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: 4216d5715c9216b661e776b4d5d4f68c73c2a3b6503a8ffff6d910a4fb15629c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9f52de80d4ced13d4b2ed74eb8d5b732a0d1f1bb601f4abfeffc2499a608bcf",
    "cross_cats_sorted": [
      "cs.SY",
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-16T10:02:02Z",
    "title_canon_sha256": "a9a8348aef2c314832cf75e800bd74229906bc2001f14fd4d09e4b10219f4be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3569",
    "kind": "arxiv",
    "version": 1
  }
}