Pith Number

pith:PZAHRHNX

pith:2015:PZAHRHNXYJRKFGTEBW5F56NUP7

not attested not anchored not stored refs pending

Discrete-time optimal attitude control of spacecraft with momentum and control constraints

Debasish Chatterjee, Karmvir Singh Phogat, Ravi Banavar

arxiv:1509.04521 v2 · 2015-09-15 · cs.SY · 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{PZAHRHNXYJRKFGTEBW5F56NUP7}

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	2026-05-18T00:29:49.303855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e40789db7c262a29a640dba5ef9b47fe1f91d0ee70b702ef841e9c822389747

Aliases

arxiv: 1509.04521 · arxiv_version: 1509.04521v2 · doi: 10.48550/arxiv.1509.04521 · pith_short_12: PZAHRHNXYJRK · pith_short_16: PZAHRHNXYJRKFGTE · pith_short_8: PZAHRHNX

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/PZAHRHNXYJRKFGTEBW5F56NUP7 \
  | 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: 7e40789db7c262a29a640dba5ef9b47fe1f91d0ee70b702ef841e9c822389747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c74f90df30e0a14b2873cc7ca7db5b347583c049ff5239bbee6319defff7f2b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-09-15T12:38:14Z",
    "title_canon_sha256": "ae343421799ca702843608cec870df2fd3124d384a485c9dfb0cf6fd942d569f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04521",
    "kind": "arxiv",
    "version": 2
  }
}