Pith Number

pith:UVJJTPQ3

pith:2017:UVJJTPQ3VBD4FZSUNGWR4KM5VV

not attested not anchored not stored refs pending

The Multiplier Problem of the Calculus of Variations for Scalar Ordinary Differential Equations

Hardy Chan

arxiv:1710.01428 v1 · 2017-10-04 · math.CA · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UVJJTPQ3VBD4FZSUNGWR4KM5VV}

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	2026-05-18T00:33:42.815361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a55299be1ba847c2e65469ad1e299dad7a534d357adb78b58003091554d0a088

Aliases

arxiv: 1710.01428 · arxiv_version: 1710.01428v1 · doi: 10.48550/arxiv.1710.01428 · pith_short_12: UVJJTPQ3VBD4 · pith_short_16: UVJJTPQ3VBD4FZSU · pith_short_8: UVJJTPQ3

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/UVJJTPQ3VBD4FZSUNGWR4KM5VV \
  | 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: a55299be1ba847c2e65469ad1e299dad7a534d357adb78b58003091554d0a088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06236b32e77efcfcf51cc46da37a18b4ba1f8cf7d9dbf3a0264634a59f48a32a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-04T00:30:00Z",
    "title_canon_sha256": "706a95d9cca8ac596c6a2542b52f0f930a63a9f68e12b3cf74b561e21383d862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01428",
    "kind": "arxiv",
    "version": 1
  }
}