Pith Number

pith:GADSCCKA

pith:2016:GADSCCKACIQ7KR5EOPZELEDNYL

not attested not anchored not stored refs pending

Weak and Strong Solutions to the Inverse-Square Brachistochrone Problem on Circular and Annular Domains

Christopher Grimm, John A. Gemmer

arxiv:1605.01486 v1 · 2016-05-05 · 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{GADSCCKACIQ7KR5EOPZELEDNYL}

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	2026-05-18T00:42:32.901168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30072109401221f547a473f245906dc2e33c3693e19ebcab378decf95d3122d6

Aliases

arxiv: 1605.01486 · arxiv_version: 1605.01486v1 · doi: 10.48550/arxiv.1605.01486 · pith_short_12: GADSCCKACIQ7 · pith_short_16: GADSCCKACIQ7KR5E · pith_short_8: GADSCCKA

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/GADSCCKACIQ7KR5EOPZELEDNYL \
  | 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: 30072109401221f547a473f245906dc2e33c3693e19ebcab378decf95d3122d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49afd23ccdd37acf9c90bc1a5e93dd7b60cdc864aa50e4be039bf2063e934dbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-05T04:21:34Z",
    "title_canon_sha256": "5b89d0771217f1ad0f778827cab98855ec171c17ec5dfe45a55aab7353b09a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01486",
    "kind": "arxiv",
    "version": 1
  }
}