Pith Number

pith:WGWKYP5H

pith:2010:WGWKYP5HQ2GFKXUEL43LJBEDGZ

not attested not anchored not stored refs pending

Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems

Apostolos Pilaftsis, Jae Sik Lee, John Ellis

arxiv:1009.1151 v2 · 2010-09-06 · math.OC · hep-ph · 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{WGWKYP5HQ2GFKXUEL43LJBEDGZ}

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	2026-05-18T04:40:33.843197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1acac3fa7868c555e845f36b48483365c04d68ebd4cbba863c4da18ca649e5f

Aliases

arxiv: 1009.1151 · arxiv_version: 1009.1151v2 · doi: 10.48550/arxiv.1009.1151 · pith_short_12: WGWKYP5HQ2GF · pith_short_16: WGWKYP5HQ2GFKXUE · pith_short_8: WGWKYP5H

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/WGWKYP5HQ2GFKXUEL43LJBEDGZ \
  | 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: b1acac3fa7868c555e845f36b48483365c04d68ebd4cbba863c4da18ca649e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27cc89ff457f7286dc7f873defb1274869c7620395f807731a18d53526058cb",
    "cross_cats_sorted": [
      "hep-ph",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-09-06T20:12:21Z",
    "title_canon_sha256": "c6fdb18d4c69a6dfdfbc857b941888562fbabc67f79eedb6da1df089528be0eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1151",
    "kind": "arxiv",
    "version": 2
  }
}