Pith Number

pith:RJ4N6DKF

pith:2007:RJ4N6DKFOKJGIAGNVMTABZINCR

not attested not anchored not stored refs pending

Necessary conditions for linear noncooperative N-player delta differential games on time scales

Delfim F. M. Torres, Natalia Martins

arxiv:0801.0090 v1 · 2007-12-29 · math.OC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJ4N6DKFOKJGIAGNVMTABZINCR}

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	2026-05-18T03:45:32.278575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a78df0d4572926400cdab2600e50d144a455c36c0018b610fc22eea2d8c04db

Aliases

arxiv: 0801.0090 · arxiv_version: 0801.0090v1 · doi: 10.48550/arxiv.0801.0090 · pith_short_12: RJ4N6DKFOKJG · pith_short_16: RJ4N6DKFOKJGIAGN · pith_short_8: RJ4N6DKF

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/RJ4N6DKFOKJGIAGNVMTABZINCR \
  | 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: 8a78df0d4572926400cdab2600e50d144a455c36c0018b610fc22eea2d8c04db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6936659c92dc5b9c1f4188f42bec425ce1f14e4beb9aab77e9d82799a5cef2b2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-12-29T21:31:39Z",
    "title_canon_sha256": "fe96f0b7ded62b2682b9701d5864ab3a5e8a538c4666124314068dde03072bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0090",
    "kind": "arxiv",
    "version": 1
  }
}