Pith Number

pith:R4TDKDG4

pith:2017:R4TDKDG4ESTCQBAPMR5QYRWAPU

not attested not anchored not stored refs pending

An extension to the theory of controlled Lagrangians using the Helmholtz conditions

Anthony M. Bloch, Marta Farr\'e Puiggal\'i

arxiv:1711.06944 v1 · 2017-11-19 · math.OC · math-ph · math.DS · 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{R4TDKDG4ESTCQBAPMR5QYRWAPU}

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	2026-05-18T00:03:09.240741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f26350cdc24a628040f647b0c46c07d1b711dbb88944102e9224932a2f3ab70

Aliases

arxiv: 1711.06944 · arxiv_version: 1711.06944v1 · doi: 10.48550/arxiv.1711.06944 · pith_short_12: R4TDKDG4ESTC · pith_short_16: R4TDKDG4ESTCQBAP · pith_short_8: R4TDKDG4

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/R4TDKDG4ESTCQBAPMR5QYRWAPU \
  | 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: 8f26350cdc24a628040f647b0c46c07d1b711dbb88944102e9224932a2f3ab70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac20ea370680ebea0bd9f7ef542599d91c633d6d37c5607ca76259a36d4de862",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-19T00:42:38Z",
    "title_canon_sha256": "96aba33fd391928fdb3a8bfa7bbf7dee473a070bab0832afea98026e3e718fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06944",
    "kind": "arxiv",
    "version": 1
  }
}