Pith Number

pith:H4XUVXAX

pith:2006:H4XUVXAXPITKJPWQBWNY23TSDO

not attested not anchored not stored refs pending

Some properties of the value function and its level sets for affine control systems with quadratic cost

Emmanuel Tr\'elat (IMB)

arxiv:math/0607424 v1 · 2006-07-18 · 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{H4XUVXAXPITKJPWQBWNY23TSDO}

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	2026-05-18T01:08:50.034392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2f4adc177a26a4bed00d9b8d6e721b996835bc332d94eeaa2102485134eade

Aliases

arxiv: math/0607424 · arxiv_version: math/0607424v1 · doi: 10.48550/arxiv.math/0607424 · pith_short_12: H4XUVXAXPITK · pith_short_16: H4XUVXAXPITKJPWQ · pith_short_8: H4XUVXAX

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/H4XUVXAXPITKJPWQBWNY23TSDO \
  | 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: 3f2f4adc177a26a4bed00d9b8d6e721b996835bc332d94eeaa2102485134eade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80068ecaa0fbd9cd45c1214011beaf4a5f4150e1459f8694062089c1a1bc236",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2006-07-18T15:20:48Z",
    "title_canon_sha256": "e7725ff02d51be3e43d526dde05f3195a57e97ac4fb619bd7d864e8a8a80e82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607424",
    "kind": "arxiv",
    "version": 1
  }
}