Pith Number

pith:VXIVOSKL

pith:2013:VXIVOSKLOSJZHKKIUK2DSXHSBN

not attested not anchored not stored refs pending

On the Hybrid Minimum Principle On Lie Groups and the Exponential Gradient HMP Algorithm

Farzin Taringoo, Peter E. Caines

arxiv:1301.1082 v2 · 2013-01-07 · math.OC · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXIVOSKLOSJZHKKIUK2DSXHSBN}

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	2026-05-18T03:00:26.607077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add157494b749393a948a2b4395cf20b5bff0f768d33ae187af932cad60ddeac

Aliases

arxiv: 1301.1082 · arxiv_version: 1301.1082v2 · doi: 10.48550/arxiv.1301.1082 · pith_short_12: VXIVOSKLOSJZ · pith_short_16: VXIVOSKLOSJZHKKI · pith_short_8: VXIVOSKL

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/VXIVOSKLOSJZHKKIUK2DSXHSBN \
  | 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: add157494b749393a948a2b4395cf20b5bff0f768d33ae187af932cad60ddeac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2e666e7496c3a9d903ac27c4f6854e7e4a4b4d46d4f0d0a9c8d0ebfd66b85d3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-01-07T00:29:06Z",
    "title_canon_sha256": "cbd515c8a0e25e7ec16805ed433cd0369298c698236a4d865e1ba3555a50aa6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1082",
    "kind": "arxiv",
    "version": 2
  }
}