Pith Number

pith:3BX3NQB2

pith:2018:3BX3NQB25I2P63WZNVCMXDA5CU

not attested not anchored not stored refs pending

A frequency-constrained geometric Pontryagin maximum principle on matrix Lie groups

Debasish Chatterjee, Karmvir Singh Phogat, Pradyumna Paruchuri, Ravi Banavar, Shruti Kotpalliwar

arxiv:1803.03052 v2 · 2018-03-08 · 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{3BX3NQB25I2P63WZNVCMXDA5CU}

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	2026-05-17T23:50:07.414967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86fb6c03aea34ff6ed96d44cb8c1d1515efd836da9392e91a233f30ae882827

Aliases

arxiv: 1803.03052 · arxiv_version: 1803.03052v2 · doi: 10.48550/arxiv.1803.03052 · pith_short_12: 3BX3NQB25I2P · pith_short_16: 3BX3NQB25I2P63WZ · pith_short_8: 3BX3NQB2

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/3BX3NQB25I2P63WZNVCMXDA5CU \
  | 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: d86fb6c03aea34ff6ed96d44cb8c1d1515efd836da9392e91a233f30ae882827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f417000f5357e648434dd35a3543a276763ae5782c1586b19eb425797d9550",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2018-03-08T11:51:43Z",
    "title_canon_sha256": "4b9fc25e194e22e0d306ae1614ced1af59fba827604309d0368995173cbc10f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03052",
    "kind": "arxiv",
    "version": 2
  }
}